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Finding the Fourth Proportional to 5,792.73, 8,689.04 and 1,410.20

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Solution

The fourth proportional to 5,792.73, 8,689.04 and 1,410.20 is: 2,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.73 : 8,689.04 = 1,410.20 : x
  2. Step 2: Convert to fraction form
    5,792.73/8,689.04 = 1,410.20/x
  3. Step 3: Cross multiply
    5,792.73x = 8,689.04 × 1,410.20
  4. Step 4: Simplify right side
    5,792.73x = 12,253,244.29
  5. Step 5: Solve for x
    x = 12,253,244.29/5,792.73
  6. Step 6: Final answer
    x = 2,115.28

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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.