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Finding the Fourth Proportional to 4,227.77, 6,339.25 and 3,538.73

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Solution

The fourth proportional to 4,227.77, 6,339.25 and 3,538.73 is: 5,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.77 : 6,339.25 = 3,538.73 : x
  2. Step 2: Convert to fraction form
    4,227.77/6,339.25 = 3,538.73/x
  3. Step 3: Cross multiply
    4,227.77x = 6,339.25 × 3,538.73
  4. Step 4: Simplify right side
    4,227.77x = 22,432,894.15
  5. Step 5: Solve for x
    x = 22,432,894.15/4,227.77
  6. Step 6: Final answer
    x = 5,306.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.