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Finding the Fourth Proportional to 3,726.54, 5,141.89 and 2,400.05

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Solution

The fourth proportional to 3,726.54, 5,141.89 and 2,400.05 is: 3,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.54 : 5,141.89 = 2,400.05 : x
  2. Step 2: Convert to fraction form
    3,726.54/5,141.89 = 2,400.05/x
  3. Step 3: Cross multiply
    3,726.54x = 5,141.89 × 2,400.05
  4. Step 4: Simplify right side
    3,726.54x = 12,340,793.09
  5. Step 5: Solve for x
    x = 12,340,793.09/3,726.54
  6. Step 6: Final answer
    x = 3,311.60

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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.