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Finding the Fourth Proportional to 3,689.46, 5,093.55 and 2,432.70

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Solution

The fourth proportional to 3,689.46, 5,093.55 and 2,432.70 is: 3,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.46 : 5,093.55 = 2,432.70 : x
  2. Step 2: Convert to fraction form
    3,689.46/5,093.55 = 2,432.70/x
  3. Step 3: Cross multiply
    3,689.46x = 5,093.55 × 2,432.70
  4. Step 4: Simplify right side
    3,689.46x = 12,391,079.09
  5. Step 5: Solve for x
    x = 12,391,079.09/3,689.46
  6. Step 6: Final answer
    x = 3,358.51

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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.