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Finding the Fourth Proportional to 3,614.57, 4,988.21 and 2,042.63

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Solution

The fourth proportional to 3,614.57, 4,988.21 and 2,042.63 is: 2,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.57 : 4,988.21 = 2,042.63 : x
  2. Step 2: Convert to fraction form
    3,614.57/4,988.21 = 2,042.63/x
  3. Step 3: Cross multiply
    3,614.57x = 4,988.21 × 2,042.63
  4. Step 4: Simplify right side
    3,614.57x = 10,189,032.24
  5. Step 5: Solve for x
    x = 10,189,032.24/3,614.57
  6. Step 6: Final answer
    x = 2,818.88

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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.