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Finding the Fourth Proportional to 3,726.50, 5,142.15 and 2,234.48

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Solution

The fourth proportional to 3,726.50, 5,142.15 and 2,234.48 is: 3,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.50 : 5,142.15 = 2,234.48 : x
  2. Step 2: Convert to fraction form
    3,726.50/5,142.15 = 2,234.48/x
  3. Step 3: Cross multiply
    3,726.50x = 5,142.15 × 2,234.48
  4. Step 4: Simplify right side
    3,726.50x = 11,490,005.62
  5. Step 5: Solve for x
    x = 11,490,005.62/3,726.50
  6. Step 6: Final answer
    x = 3,083.33

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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.