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Finding the Fourth Proportional to 3,917.76, 5,872.99 and 1,451.91

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Solution

The fourth proportional to 3,917.76, 5,872.99 and 1,451.91 is: 2,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.76 : 5,872.99 = 1,451.91 : x
  2. Step 2: Convert to fraction form
    3,917.76/5,872.99 = 1,451.91/x
  3. Step 3: Cross multiply
    3,917.76x = 5,872.99 × 1,451.91
  4. Step 4: Simplify right side
    3,917.76x = 8,527,052.91
  5. Step 5: Solve for x
    x = 8,527,052.91/3,917.76
  6. Step 6: Final answer
    x = 2,176.51

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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.