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Finding the Fourth Proportional to 3,932.39, 5,898.74 and 1,299.96

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Solution

The fourth proportional to 3,932.39, 5,898.74 and 1,299.96 is: 1,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.39 : 5,898.74 = 1,299.96 : x
  2. Step 2: Convert to fraction form
    3,932.39/5,898.74 = 1,299.96/x
  3. Step 3: Cross multiply
    3,932.39x = 5,898.74 × 1,299.96
  4. Step 4: Simplify right side
    3,932.39x = 7,668,119.55
  5. Step 5: Solve for x
    x = 7,668,119.55/3,932.39
  6. Step 6: Final answer
    x = 1,949.99

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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.