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Finding the Fourth Proportional to 4,948.38, 7,423.83 and 3,647.62

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Solution

The fourth proportional to 4,948.38, 7,423.83 and 3,647.62 is: 5,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.38 : 7,423.83 = 3,647.62 : x
  2. Step 2: Convert to fraction form
    4,948.38/7,423.83 = 3,647.62/x
  3. Step 3: Cross multiply
    4,948.38x = 7,423.83 × 3,647.62
  4. Step 4: Simplify right side
    4,948.38x = 27,079,310.78
  5. Step 5: Solve for x
    x = 27,079,310.78/4,948.38
  6. Step 6: Final answer
    x = 5,472.36

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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.