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Finding the Fourth Proportional to 5,458.52, 7,535.22 and 3,221.84

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Solution

The fourth proportional to 5,458.52, 7,535.22 and 3,221.84 is: 4,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.52 : 7,535.22 = 3,221.84 : x
  2. Step 2: Convert to fraction form
    5,458.52/7,535.22 = 3,221.84/x
  3. Step 3: Cross multiply
    5,458.52x = 7,535.22 × 3,221.84
  4. Step 4: Simplify right side
    5,458.52x = 24,277,273.20
  5. Step 5: Solve for x
    x = 24,277,273.20/5,458.52
  6. Step 6: Final answer
    x = 4,447.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.