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Finding the Fourth Proportional to 3,367.68, 5,052.99 and 1,177.98

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Solution

The fourth proportional to 3,367.68, 5,052.99 and 1,177.98 is: 1,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.68 : 5,052.99 = 1,177.98 : x
  2. Step 2: Convert to fraction form
    3,367.68/5,052.99 = 1,177.98/x
  3. Step 3: Cross multiply
    3,367.68x = 5,052.99 × 1,177.98
  4. Step 4: Simplify right side
    3,367.68x = 5,952,321.16
  5. Step 5: Solve for x
    x = 5,952,321.16/3,367.68
  6. Step 6: Final answer
    x = 1,767.48

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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.