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Finding the Fourth Proportional to 3,660.64, 5,491.52 and 1,063.24

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Solution

The fourth proportional to 3,660.64, 5,491.52 and 1,063.24 is: 1,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.64 : 5,491.52 = 1,063.24 : x
  2. Step 2: Convert to fraction form
    3,660.64/5,491.52 = 1,063.24/x
  3. Step 3: Cross multiply
    3,660.64x = 5,491.52 × 1,063.24
  4. Step 4: Simplify right side
    3,660.64x = 5,838,803.72
  5. Step 5: Solve for x
    x = 5,838,803.72/3,660.64
  6. Step 6: Final answer
    x = 1,595.02

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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.