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Finding the Fourth Proportional to 5,189.84, 7,161 and 3,094.16

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Solution

The fourth proportional to 5,189.84, 7,161 and 3,094.16 is: 4,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.84 : 7,161 = 3,094.16 : x
  2. Step 2: Convert to fraction form
    5,189.84/7,161 = 3,094.16/x
  3. Step 3: Cross multiply
    5,189.84x = 7,161 × 3,094.16
  4. Step 4: Simplify right side
    5,189.84x = 22,157,279.76
  5. Step 5: Solve for x
    x = 22,157,279.76/5,189.84
  6. Step 6: Final answer
    x = 4,269.36

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.