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Finding the Fourth Proportional to 5,706.80, 8,565.60 and 3,519.80

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Solution

The fourth proportional to 5,706.80, 8,565.60 and 3,519.80 is: 5,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.80 : 8,565.60 = 3,519.80 : x
  2. Step 2: Convert to fraction form
    5,706.80/8,565.60 = 3,519.80/x
  3. Step 3: Cross multiply
    5,706.80x = 8,565.60 × 3,519.80
  4. Step 4: Simplify right side
    5,706.80x = 30,149,198.88
  5. Step 5: Solve for x
    x = 30,149,198.88/5,706.80
  6. Step 6: Final answer
    x = 5,283.03

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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.