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Finding the Fourth Proportional to 4,149.65, 5,726.25 and 2,471.18

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Solution

The fourth proportional to 4,149.65, 5,726.25 and 2,471.18 is: 3,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.65 : 5,726.25 = 2,471.18 : x
  2. Step 2: Convert to fraction form
    4,149.65/5,726.25 = 2,471.18/x
  3. Step 3: Cross multiply
    4,149.65x = 5,726.25 × 2,471.18
  4. Step 4: Simplify right side
    4,149.65x = 14,150,594.48
  5. Step 5: Solve for x
    x = 14,150,594.48/4,149.65
  6. Step 6: Final answer
    x = 3,410.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.