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Finding the Fourth Proportional to 4,149.54, 5,726.31 and 2,381.42

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Solution

The fourth proportional to 4,149.54, 5,726.31 and 2,381.42 is: 3,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.54 : 5,726.31 = 2,381.42 : x
  2. Step 2: Convert to fraction form
    4,149.54/5,726.31 = 2,381.42/x
  3. Step 3: Cross multiply
    4,149.54x = 5,726.31 × 2,381.42
  4. Step 4: Simplify right side
    4,149.54x = 13,636,749.16
  5. Step 5: Solve for x
    x = 13,636,749.16/4,149.54
  6. Step 6: Final answer
    x = 3,286.33

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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.