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Finding the Fourth Proportional to 3,614.16, 4,987.68 and 2,042.16

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Solution

The fourth proportional to 3,614.16, 4,987.68 and 2,042.16 is: 2,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.16 : 4,987.68 = 2,042.16 : x
  2. Step 2: Convert to fraction form
    3,614.16/4,987.68 = 2,042.16/x
  3. Step 3: Cross multiply
    3,614.16x = 4,987.68 × 2,042.16
  4. Step 4: Simplify right side
    3,614.16x = 10,185,640.59
  5. Step 5: Solve for x
    x = 10,185,640.59/3,614.16
  6. Step 6: Final answer
    x = 2,818.26

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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.