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Finding the Fourth Proportional to 3,633.52, 5,449.02 and 1,035.76

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Solution

The fourth proportional to 3,633.52, 5,449.02 and 1,035.76 is: 1,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.52 : 5,449.02 = 1,035.76 : x
  2. Step 2: Convert to fraction form
    3,633.52/5,449.02 = 1,035.76/x
  3. Step 3: Cross multiply
    3,633.52x = 5,449.02 × 1,035.76
  4. Step 4: Simplify right side
    3,633.52x = 5,643,876.96
  5. Step 5: Solve for x
    x = 5,643,876.96/3,633.52
  6. Step 6: Final answer
    x = 1,553.28

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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.