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Finding the Fourth Proportional to 3,681.43, 5,080.48 and 2,002.86

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Solution

The fourth proportional to 3,681.43, 5,080.48 and 2,002.86 is: 2,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.43 : 5,080.48 = 2,002.86 : x
  2. Step 2: Convert to fraction form
    3,681.43/5,080.48 = 2,002.86/x
  3. Step 3: Cross multiply
    3,681.43x = 5,080.48 × 2,002.86
  4. Step 4: Simplify right side
    3,681.43x = 10,175,469.78
  5. Step 5: Solve for x
    x = 10,175,469.78/3,681.43
  6. Step 6: Final answer
    x = 2,764.00

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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.