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Finding the Fourth Proportional to 5,123, 7,067.72 and 3,233.90

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Solution

The fourth proportional to 5,123, 7,067.72 and 3,233.90 is: 4,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123 : 7,067.72 = 3,233.90 : x
  2. Step 2: Convert to fraction form
    5,123/7,067.72 = 3,233.90/x
  3. Step 3: Cross multiply
    5,123x = 7,067.72 × 3,233.90
  4. Step 4: Simplify right side
    5,123x = 22,856,299.71
  5. Step 5: Solve for x
    x = 22,856,299.71/5,123
  6. Step 6: Final answer
    x = 4,461.51

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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.