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Finding the Fourth Proportional to 3,613.68, 4,987.13 and 2,042.06

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Solution

The fourth proportional to 3,613.68, 4,987.13 and 2,042.06 is: 2,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.68 : 4,987.13 = 2,042.06 : x
  2. Step 2: Convert to fraction form
    3,613.68/4,987.13 = 2,042.06/x
  3. Step 3: Cross multiply
    3,613.68x = 4,987.13 × 2,042.06
  4. Step 4: Simplify right side
    3,613.68x = 10,183,983.54
  5. Step 5: Solve for x
    x = 10,183,983.54/3,613.68
  6. Step 6: Final answer
    x = 2,818.18

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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.