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Finding the Fourth Proportional to 5,432.71, 7,497.14 and 2,948.71

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Solution

The fourth proportional to 5,432.71, 7,497.14 and 2,948.71 is: 4,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.71 : 7,497.14 = 2,948.71 : x
  2. Step 2: Convert to fraction form
    5,432.71/7,497.14 = 2,948.71/x
  3. Step 3: Cross multiply
    5,432.71x = 7,497.14 × 2,948.71
  4. Step 4: Simplify right side
    5,432.71x = 22,106,839.46
  5. Step 5: Solve for x
    x = 22,106,839.46/5,432.71
  6. Step 6: Final answer
    x = 4,069.21

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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.