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Finding the Fourth Proportional to 4,468.78, 6,171.86 and 3,472.55

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Solution

The fourth proportional to 4,468.78, 6,171.86 and 3,472.55 is: 4,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.78 : 6,171.86 = 3,472.55 : x
  2. Step 2: Convert to fraction form
    4,468.78/6,171.86 = 3,472.55/x
  3. Step 3: Cross multiply
    4,468.78x = 6,171.86 × 3,472.55
  4. Step 4: Simplify right side
    4,468.78x = 21,432,092.44
  5. Step 5: Solve for x
    x = 21,432,092.44/4,468.78
  6. Step 6: Final answer
    x = 4,795.96

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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.