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Finding the Fourth Proportional to 3,948.88, 5,923.23 and 3,708.31

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Solution

The fourth proportional to 3,948.88, 5,923.23 and 3,708.31 is: 5,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.88 : 5,923.23 = 3,708.31 : x
  2. Step 2: Convert to fraction form
    3,948.88/5,923.23 = 3,708.31/x
  3. Step 3: Cross multiply
    3,948.88x = 5,923.23 × 3,708.31
  4. Step 4: Simplify right side
    3,948.88x = 21,965,173.04
  5. Step 5: Solve for x
    x = 21,965,173.04/3,948.88
  6. Step 6: Final answer
    x = 5,562.38

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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.