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Finding the Fourth Proportional to 3,528.71, 5,293.12 and 2,432.78

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Solution

The fourth proportional to 3,528.71, 5,293.12 and 2,432.78 is: 3,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.71 : 5,293.12 = 2,432.78 : x
  2. Step 2: Convert to fraction form
    3,528.71/5,293.12 = 2,432.78/x
  3. Step 3: Cross multiply
    3,528.71x = 5,293.12 × 2,432.78
  4. Step 4: Simplify right side
    3,528.71x = 12,877,003.62
  5. Step 5: Solve for x
    x = 12,877,003.62/3,528.71
  6. Step 6: Final answer
    x = 3,649.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.