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Finding the Fourth Proportional to 5,983.18, 8,952.90 and 3,519.16

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Solution

The fourth proportional to 5,983.18, 8,952.90 and 3,519.16 is: 5,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.18 : 8,952.90 = 3,519.16 : x
  2. Step 2: Convert to fraction form
    5,983.18/8,952.90 = 3,519.16/x
  3. Step 3: Cross multiply
    5,983.18x = 8,952.90 × 3,519.16
  4. Step 4: Simplify right side
    5,983.18x = 31,506,687.56
  5. Step 5: Solve for x
    x = 31,506,687.56/5,983.18
  6. Step 6: Final answer
    x = 5,265.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.