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Finding the Fourth Proportional to 5,672.80, 8,509.61 and 1,512.79

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Solution

The fourth proportional to 5,672.80, 8,509.61 and 1,512.79 is: 2,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.80 : 8,509.61 = 1,512.79 : x
  2. Step 2: Convert to fraction form
    5,672.80/8,509.61 = 1,512.79/x
  3. Step 3: Cross multiply
    5,672.80x = 8,509.61 × 1,512.79
  4. Step 4: Simplify right side
    5,672.80x = 12,873,229.75
  5. Step 5: Solve for x
    x = 12,873,229.75/5,672.80
  6. Step 6: Final answer
    x = 2,269.29

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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.