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Finding the Fourth Proportional to 3,720.69, 5,134.62 and 2,042.26

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Solution

The fourth proportional to 3,720.69, 5,134.62 and 2,042.26 is: 2,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.69 : 5,134.62 = 2,042.26 : x
  2. Step 2: Convert to fraction form
    3,720.69/5,134.62 = 2,042.26/x
  3. Step 3: Cross multiply
    3,720.69x = 5,134.62 × 2,042.26
  4. Step 4: Simplify right side
    3,720.69x = 10,486,229.04
  5. Step 5: Solve for x
    x = 10,486,229.04/3,720.69
  6. Step 6: Final answer
    x = 2,818.36

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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.