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Finding the Fourth Proportional to 5,019.64, 7,529.88 and 1,687.76

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Solution

The fourth proportional to 5,019.64, 7,529.88 and 1,687.76 is: 2,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.64 : 7,529.88 = 1,687.76 : x
  2. Step 2: Convert to fraction form
    5,019.64/7,529.88 = 1,687.76/x
  3. Step 3: Cross multiply
    5,019.64x = 7,529.88 × 1,687.76
  4. Step 4: Simplify right side
    5,019.64x = 12,708,630.27
  5. Step 5: Solve for x
    x = 12,708,630.27/5,019.64
  6. Step 6: Final answer
    x = 2,531.78

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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.