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Finding the Fourth Proportional to 5,519.97, 7,617.65 and 3,002.13

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Solution

The fourth proportional to 5,519.97, 7,617.65 and 3,002.13 is: 4,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519.97 : 7,617.65 = 3,002.13 : x
  2. Step 2: Convert to fraction form
    5,519.97/7,617.65 = 3,002.13/x
  3. Step 3: Cross multiply
    5,519.97x = 7,617.65 × 3,002.13
  4. Step 4: Simplify right side
    5,519.97x = 22,869,175.59
  5. Step 5: Solve for x
    x = 22,869,175.59/5,519.97
  6. Step 6: Final answer
    x = 4,142.99

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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.