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Finding the Fourth Proportional to 3,937.97, 5,907.12 and 1,472.54

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Solution

The fourth proportional to 3,937.97, 5,907.12 and 1,472.54 is: 2,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.97 : 5,907.12 = 1,472.54 : x
  2. Step 2: Convert to fraction form
    3,937.97/5,907.12 = 1,472.54/x
  3. Step 3: Cross multiply
    3,937.97x = 5,907.12 × 1,472.54
  4. Step 4: Simplify right side
    3,937.97x = 8,698,470.48
  5. Step 5: Solve for x
    x = 8,698,470.48/3,937.97
  6. Step 6: Final answer
    x = 2,208.87

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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.