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Finding the Fourth Proportional to 3,729.54, 5,142.79 and 2,470.20

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Solution

The fourth proportional to 3,729.54, 5,142.79 and 2,470.20 is: 3,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.54 : 5,142.79 = 2,470.20 : x
  2. Step 2: Convert to fraction form
    3,729.54/5,142.79 = 2,470.20/x
  3. Step 3: Cross multiply
    3,729.54x = 5,142.79 × 2,470.20
  4. Step 4: Simplify right side
    3,729.54x = 12,703,703.66
  5. Step 5: Solve for x
    x = 12,703,703.66/3,729.54
  6. Step 6: Final answer
    x = 3,406.24

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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.