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Finding the Fourth Proportional to 5,974.38, 8,244.99 and 3,616.74

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Solution

The fourth proportional to 5,974.38, 8,244.99 and 3,616.74 is: 4,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.38 : 8,244.99 = 3,616.74 : x
  2. Step 2: Convert to fraction form
    5,974.38/8,244.99 = 3,616.74/x
  3. Step 3: Cross multiply
    5,974.38x = 8,244.99 × 3,616.74
  4. Step 4: Simplify right side
    5,974.38x = 29,819,985.13
  5. Step 5: Solve for x
    x = 29,819,985.13/5,974.38
  6. Step 6: Final answer
    x = 4,991.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.