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Finding the Fourth Proportional to 3,726.16, 5,142 and 2,234.92

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Solution

The fourth proportional to 3,726.16, 5,142 and 2,234.92 is: 3,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.16 : 5,142 = 2,234.92 : x
  2. Step 2: Convert to fraction form
    3,726.16/5,142 = 2,234.92/x
  3. Step 3: Cross multiply
    3,726.16x = 5,142 × 2,234.92
  4. Step 4: Simplify right side
    3,726.16x = 11,491,958.64
  5. Step 5: Solve for x
    x = 11,491,958.64/3,726.16
  6. Step 6: Final answer
    x = 3,084.13

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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.