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Finding the Fourth Proportional to 3,536.53, 5,304.63 and 1,456.02

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Solution

The fourth proportional to 3,536.53, 5,304.63 and 1,456.02 is: 2,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.53 : 5,304.63 = 1,456.02 : x
  2. Step 2: Convert to fraction form
    3,536.53/5,304.63 = 1,456.02/x
  3. Step 3: Cross multiply
    3,536.53x = 5,304.63 × 1,456.02
  4. Step 4: Simplify right side
    3,536.53x = 7,723,620.85
  5. Step 5: Solve for x
    x = 7,723,620.85/3,536.53
  6. Step 6: Final answer
    x = 2,183.95

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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.