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Finding the Fourth Proportional to 3,948.86, 5,923.28 and 3,708.28

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Solution

The fourth proportional to 3,948.86, 5,923.28 and 3,708.28 is: 5,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.86 : 5,923.28 = 3,708.28 : x
  2. Step 2: Convert to fraction form
    3,948.86/5,923.28 = 3,708.28/x
  3. Step 3: Cross multiply
    3,948.86x = 5,923.28 × 3,708.28
  4. Step 4: Simplify right side
    3,948.86x = 21,965,180.76
  5. Step 5: Solve for x
    x = 21,965,180.76/3,948.86
  6. Step 6: Final answer
    x = 5,562.41

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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.