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Finding the Fourth Proportional to 3,472.27, 5,214.08 and 2,927.95

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Solution

The fourth proportional to 3,472.27, 5,214.08 and 2,927.95 is: 4,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.27 : 5,214.08 = 2,927.95 : x
  2. Step 2: Convert to fraction form
    3,472.27/5,214.08 = 2,927.95/x
  3. Step 3: Cross multiply
    3,472.27x = 5,214.08 × 2,927.95
  4. Step 4: Simplify right side
    3,472.27x = 15,266,565.54
  5. Step 5: Solve for x
    x = 15,266,565.54/3,472.27
  6. Step 6: Final answer
    x = 4,396.71

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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.