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Finding the Fourth Proportional to 3,720.62, 5,134.60 and 2,042.10

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Solution

The fourth proportional to 3,720.62, 5,134.60 and 2,042.10 is: 2,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.62 : 5,134.60 = 2,042.10 : x
  2. Step 2: Convert to fraction form
    3,720.62/5,134.60 = 2,042.10/x
  3. Step 3: Cross multiply
    3,720.62x = 5,134.60 × 2,042.10
  4. Step 4: Simplify right side
    3,720.62x = 10,485,369.21
  5. Step 5: Solve for x
    x = 10,485,369.21/3,720.62
  6. Step 6: Final answer
    x = 2,818.18

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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.