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Finding the Fourth Proportional to 3,898.02, 5,847.61 and 1,432.65

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Solution

The fourth proportional to 3,898.02, 5,847.61 and 1,432.65 is: 2,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.02 : 5,847.61 = 1,432.65 : x
  2. Step 2: Convert to fraction form
    3,898.02/5,847.61 = 1,432.65/x
  3. Step 3: Cross multiply
    3,898.02x = 5,847.61 × 1,432.65
  4. Step 4: Simplify right side
    3,898.02x = 8,377,544.12
  5. Step 5: Solve for x
    x = 8,377,544.12/3,898.02
  6. Step 6: Final answer
    x = 2,149.18

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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.