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Finding the Fourth Proportional to 5,657.45, 8,486.17 and 1,761.86

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Solution

The fourth proportional to 5,657.45, 8,486.17 and 1,761.86 is: 2,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.45 : 8,486.17 = 1,761.86 : x
  2. Step 2: Convert to fraction form
    5,657.45/8,486.17 = 1,761.86/x
  3. Step 3: Cross multiply
    5,657.45x = 8,486.17 × 1,761.86
  4. Step 4: Simplify right side
    5,657.45x = 14,951,401.05
  5. Step 5: Solve for x
    x = 14,951,401.05/5,657.45
  6. Step 6: Final answer
    x = 2,642.78

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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.