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Finding the Fourth Proportional to 5,387.57, 8,076.16 and 1,687.20

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Solution

The fourth proportional to 5,387.57, 8,076.16 and 1,687.20 is: 2,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.57 : 8,076.16 = 1,687.20 : x
  2. Step 2: Convert to fraction form
    5,387.57/8,076.16 = 1,687.20/x
  3. Step 3: Cross multiply
    5,387.57x = 8,076.16 × 1,687.20
  4. Step 4: Simplify right side
    5,387.57x = 13,626,097.15
  5. Step 5: Solve for x
    x = 13,626,097.15/5,387.57
  6. Step 6: Final answer
    x = 2,529.17

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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.