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Finding the Fourth Proportional to 3,752.33, 5,616.14 and 3,131.87

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Solution

The fourth proportional to 3,752.33, 5,616.14 and 3,131.87 is: 4,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.33 : 5,616.14 = 3,131.87 : x
  2. Step 2: Convert to fraction form
    3,752.33/5,616.14 = 3,131.87/x
  3. Step 3: Cross multiply
    3,752.33x = 5,616.14 × 3,131.87
  4. Step 4: Simplify right side
    3,752.33x = 17,588,976.64
  5. Step 5: Solve for x
    x = 17,588,976.64/3,752.33
  6. Step 6: Final answer
    x = 4,687.49

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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.