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Finding the Fourth Proportional to 3,559.97, 5,337.39 and 1,338.46

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Solution

The fourth proportional to 3,559.97, 5,337.39 and 1,338.46 is: 2,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.97 : 5,337.39 = 1,338.46 : x
  2. Step 2: Convert to fraction form
    3,559.97/5,337.39 = 1,338.46/x
  3. Step 3: Cross multiply
    3,559.97x = 5,337.39 × 1,338.46
  4. Step 4: Simplify right side
    3,559.97x = 7,143,883.02
  5. Step 5: Solve for x
    x = 7,143,883.02/3,559.97
  6. Step 6: Final answer
    x = 2,006.73

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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.