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Finding the Fourth Proportional to 3,859.71, 5,322.49 and 3,432.98

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Solution

The fourth proportional to 3,859.71, 5,322.49 and 3,432.98 is: 4,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.71 : 5,322.49 = 3,432.98 : x
  2. Step 2: Convert to fraction form
    3,859.71/5,322.49 = 3,432.98/x
  3. Step 3: Cross multiply
    3,859.71x = 5,322.49 × 3,432.98
  4. Step 4: Simplify right side
    3,859.71x = 18,272,006.44
  5. Step 5: Solve for x
    x = 18,272,006.44/3,859.71
  6. Step 6: Final answer
    x = 4,734.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.