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Finding the Fourth Proportional to 5,629.71, 7,770.07 and 3,712.16

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Solution

The fourth proportional to 5,629.71, 7,770.07 and 3,712.16 is: 5,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.71 : 7,770.07 = 3,712.16 : x
  2. Step 2: Convert to fraction form
    5,629.71/7,770.07 = 3,712.16/x
  3. Step 3: Cross multiply
    5,629.71x = 7,770.07 × 3,712.16
  4. Step 4: Simplify right side
    5,629.71x = 28,843,704.20
  5. Step 5: Solve for x
    x = 28,843,704.20/5,629.71
  6. Step 6: Final answer
    x = 5,123.48

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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.