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Finding the Fourth Proportional to 3,726.50, 5,142.23 and 2,047.88

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Solution

The fourth proportional to 3,726.50, 5,142.23 and 2,047.88 is: 2,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.50 : 5,142.23 = 2,047.88 : x
  2. Step 2: Convert to fraction form
    3,726.50/5,142.23 = 2,047.88/x
  3. Step 3: Cross multiply
    3,726.50x = 5,142.23 × 2,047.88
  4. Step 4: Simplify right side
    3,726.50x = 10,530,680.27
  5. Step 5: Solve for x
    x = 10,530,680.27/3,726.50
  6. Step 6: Final answer
    x = 2,825.89

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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.