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Finding the Fourth Proportional to 5,347.57, 7,383.09 and 3,460.09

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Solution

The fourth proportional to 5,347.57, 7,383.09 and 3,460.09 is: 4,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.57 : 7,383.09 = 3,460.09 : x
  2. Step 2: Convert to fraction form
    5,347.57/7,383.09 = 3,460.09/x
  3. Step 3: Cross multiply
    5,347.57x = 7,383.09 × 3,460.09
  4. Step 4: Simplify right side
    5,347.57x = 25,546,155.88
  5. Step 5: Solve for x
    x = 25,546,155.88/5,347.57
  6. Step 6: Final answer
    x = 4,777.15

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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.