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Finding the Fourth Proportional to 5,690.92, 7,848.09 and 3,699.22

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Solution

The fourth proportional to 5,690.92, 7,848.09 and 3,699.22 is: 5,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.92 : 7,848.09 = 3,699.22 : x
  2. Step 2: Convert to fraction form
    5,690.92/7,848.09 = 3,699.22/x
  3. Step 3: Cross multiply
    5,690.92x = 7,848.09 × 3,699.22
  4. Step 4: Simplify right side
    5,690.92x = 29,031,811.49
  5. Step 5: Solve for x
    x = 29,031,811.49/5,690.92
  6. Step 6: Final answer
    x = 5,101.43

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Half scale
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Double scale
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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.