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Finding the Fourth Proportional to 3,608.64, 5,412.90 and 1,268.52

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Solution

The fourth proportional to 3,608.64, 5,412.90 and 1,268.52 is: 1,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.64 : 5,412.90 = 1,268.52 : x
  2. Step 2: Convert to fraction form
    3,608.64/5,412.90 = 1,268.52/x
  3. Step 3: Cross multiply
    3,608.64x = 5,412.90 × 1,268.52
  4. Step 4: Simplify right side
    3,608.64x = 6,866,371.91
  5. Step 5: Solve for x
    x = 6,866,371.91/3,608.64
  6. Step 6: Final answer
    x = 1,902.76

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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.