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Finding the Fourth Proportional to 3,726.48, 5,143.12 and 2,310.42

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Solution

The fourth proportional to 3,726.48, 5,143.12 and 2,310.42 is: 3,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.48 : 5,143.12 = 2,310.42 : x
  2. Step 2: Convert to fraction form
    3,726.48/5,143.12 = 2,310.42/x
  3. Step 3: Cross multiply
    3,726.48x = 5,143.12 × 2,310.42
  4. Step 4: Simplify right side
    3,726.48x = 11,882,767.31
  5. Step 5: Solve for x
    x = 11,882,767.31/3,726.48
  6. Step 6: Final answer
    x = 3,188.74

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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.