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Finding the Fourth Proportional to 3,529.80, 5,294.64 and 1,338.48

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Solution

The fourth proportional to 3,529.80, 5,294.64 and 1,338.48 is: 2,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.80 : 5,294.64 = 1,338.48 : x
  2. Step 2: Convert to fraction form
    3,529.80/5,294.64 = 1,338.48/x
  3. Step 3: Cross multiply
    3,529.80x = 5,294.64 × 1,338.48
  4. Step 4: Simplify right side
    3,529.80x = 7,086,769.75
  5. Step 5: Solve for x
    x = 7,086,769.75/3,529.80
  6. Step 6: Final answer
    x = 2,007.70

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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.