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Finding the Fourth Proportional to 3,932.02, 5,898.48 and 1,299.87

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Solution

The fourth proportional to 3,932.02, 5,898.48 and 1,299.87 is: 1,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.02 : 5,898.48 = 1,299.87 : x
  2. Step 2: Convert to fraction form
    3,932.02/5,898.48 = 1,299.87/x
  3. Step 3: Cross multiply
    3,932.02x = 5,898.48 × 1,299.87
  4. Step 4: Simplify right side
    3,932.02x = 7,667,252.32
  5. Step 5: Solve for x
    x = 7,667,252.32/3,932.02
  6. Step 6: Final answer
    x = 1,949.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.