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Finding the Fourth Proportional to 3,792.92, 5,689.40 and 2,072.48

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Solution

The fourth proportional to 3,792.92, 5,689.40 and 2,072.48 is: 3,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.92 : 5,689.40 = 2,072.48 : x
  2. Step 2: Convert to fraction form
    3,792.92/5,689.40 = 2,072.48/x
  3. Step 3: Cross multiply
    3,792.92x = 5,689.40 × 2,072.48
  4. Step 4: Simplify right side
    3,792.92x = 11,791,128.90
  5. Step 5: Solve for x
    x = 11,791,128.90/3,792.92
  6. Step 6: Final answer
    x = 3,108.72

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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.