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Finding the Fourth Proportional to 5,299.78, 7,306.14 and 3,807.22

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Solution

The fourth proportional to 5,299.78, 7,306.14 and 3,807.22 is: 5,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.78 : 7,306.14 = 3,807.22 : x
  2. Step 2: Convert to fraction form
    5,299.78/7,306.14 = 3,807.22/x
  3. Step 3: Cross multiply
    5,299.78x = 7,306.14 × 3,807.22
  4. Step 4: Simplify right side
    5,299.78x = 27,816,082.33
  5. Step 5: Solve for x
    x = 27,816,082.33/5,299.78
  6. Step 6: Final answer
    x = 5,248.54

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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.