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Finding the Fourth Proportional to 3,660.72, 5,491.32 and 1,063.92

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Solution

The fourth proportional to 3,660.72, 5,491.32 and 1,063.92 is: 1,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.72 : 5,491.32 = 1,063.92 : x
  2. Step 2: Convert to fraction form
    3,660.72/5,491.32 = 1,063.92/x
  3. Step 3: Cross multiply
    3,660.72x = 5,491.32 × 1,063.92
  4. Step 4: Simplify right side
    3,660.72x = 5,842,325.17
  5. Step 5: Solve for x
    x = 5,842,325.17/3,660.72
  6. Step 6: Final answer
    x = 1,595.95

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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.