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Finding the Fourth Proportional to 3,720.80, 5,134.52 and 2,042.20

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Solution

The fourth proportional to 3,720.80, 5,134.52 and 2,042.20 is: 2,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.80 : 5,134.52 = 2,042.20 : x
  2. Step 2: Convert to fraction form
    3,720.80/5,134.52 = 2,042.20/x
  3. Step 3: Cross multiply
    3,720.80x = 5,134.52 × 2,042.20
  4. Step 4: Simplify right side
    3,720.80x = 10,485,716.74
  5. Step 5: Solve for x
    x = 10,485,716.74/3,720.80
  6. Step 6: Final answer
    x = 2,818.14

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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.