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Finding the Fourth Proportional to 5,687.46, 8,531.28 and 1,527.15

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Solution

The fourth proportional to 5,687.46, 8,531.28 and 1,527.15 is: 2,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.46 : 8,531.28 = 1,527.15 : x
  2. Step 2: Convert to fraction form
    5,687.46/8,531.28 = 1,527.15/x
  3. Step 3: Cross multiply
    5,687.46x = 8,531.28 × 1,527.15
  4. Step 4: Simplify right side
    5,687.46x = 13,028,544.25
  5. Step 5: Solve for x
    x = 13,028,544.25/5,687.46
  6. Step 6: Final answer
    x = 2,290.75

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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.