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Finding the Fourth Proportional to 4,306.08, 5,942.56 and 3,256.32

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Solution

The fourth proportional to 4,306.08, 5,942.56 and 3,256.32 is: 4,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.08 : 5,942.56 = 3,256.32 : x
  2. Step 2: Convert to fraction form
    4,306.08/5,942.56 = 3,256.32/x
  3. Step 3: Cross multiply
    4,306.08x = 5,942.56 × 3,256.32
  4. Step 4: Simplify right side
    4,306.08x = 19,350,876.98
  5. Step 5: Solve for x
    x = 19,350,876.98/4,306.08
  6. Step 6: Final answer
    x = 4,493.85

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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.