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Finding the Fourth Proportional to 3,953.88, 5,932.02 and 1,645.56

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Solution

The fourth proportional to 3,953.88, 5,932.02 and 1,645.56 is: 2,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.88 : 5,932.02 = 1,645.56 : x
  2. Step 2: Convert to fraction form
    3,953.88/5,932.02 = 1,645.56/x
  3. Step 3: Cross multiply
    3,953.88x = 5,932.02 × 1,645.56
  4. Step 4: Simplify right side
    3,953.88x = 9,761,494.83
  5. Step 5: Solve for x
    x = 9,761,494.83/3,953.88
  6. Step 6: Final answer
    x = 2,468.84

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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.