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Finding the Fourth Proportional to 3,720.88, 5,134.64 and 2,042.26

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Solution

The fourth proportional to 3,720.88, 5,134.64 and 2,042.26 is: 2,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.88 : 5,134.64 = 2,042.26 : x
  2. Step 2: Convert to fraction form
    3,720.88/5,134.64 = 2,042.26/x
  3. Step 3: Cross multiply
    3,720.88x = 5,134.64 × 2,042.26
  4. Step 4: Simplify right side
    3,720.88x = 10,486,269.89
  5. Step 5: Solve for x
    x = 10,486,269.89/3,720.88
  6. Step 6: Final answer
    x = 2,818.22

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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.