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Finding the Fourth Proportional to 3,932.48, 5,898.31 and 1,299.89

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Solution

The fourth proportional to 3,932.48, 5,898.31 and 1,299.89 is: 1,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.48 : 5,898.31 = 1,299.89 : x
  2. Step 2: Convert to fraction form
    3,932.48/5,898.31 = 1,299.89/x
  3. Step 3: Cross multiply
    3,932.48x = 5,898.31 × 1,299.89
  4. Step 4: Simplify right side
    3,932.48x = 7,667,154.19
  5. Step 5: Solve for x
    x = 7,667,154.19/3,932.48
  6. Step 6: Final answer
    x = 1,949.70

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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.