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Finding the Fourth Proportional to 5,657.58, 8,487.32 and 1,761.75

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Solution

The fourth proportional to 5,657.58, 8,487.32 and 1,761.75 is: 2,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.58 : 8,487.32 = 1,761.75 : x
  2. Step 2: Convert to fraction form
    5,657.58/8,487.32 = 1,761.75/x
  3. Step 3: Cross multiply
    5,657.58x = 8,487.32 × 1,761.75
  4. Step 4: Simplify right side
    5,657.58x = 14,952,527.20
  5. Step 5: Solve for x
    x = 14,952,527.20/5,657.58
  6. Step 6: Final answer
    x = 2,642.92

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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.