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Finding the Fourth Proportional to 3,614.63, 4,988.79 and 2,042.42

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Solution

The fourth proportional to 3,614.63, 4,988.79 and 2,042.42 is: 2,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.63 : 4,988.79 = 2,042.42 : x
  2. Step 2: Convert to fraction form
    3,614.63/4,988.79 = 2,042.42/x
  3. Step 3: Cross multiply
    3,614.63x = 4,988.79 × 2,042.42
  4. Step 4: Simplify right side
    3,614.63x = 10,189,179.53
  5. Step 5: Solve for x
    x = 10,189,179.53/3,614.63
  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.