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Finding the Fourth Proportional to 3,614.64, 4,988.28 and 2,042.64

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Solution

The fourth proportional to 3,614.64, 4,988.28 and 2,042.64 is: 2,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.64 : 4,988.28 = 2,042.64 : x
  2. Step 2: Convert to fraction form
    3,614.64/4,988.28 = 2,042.64/x
  3. Step 3: Cross multiply
    3,614.64x = 4,988.28 × 2,042.64
  4. Step 4: Simplify right side
    3,614.64x = 10,189,260.26
  5. Step 5: Solve for x
    x = 10,189,260.26/3,614.64
  6. Step 6: Final answer
    x = 2,818.89

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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.