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Finding the Fourth Proportional to 5,566.50, 7,679.19 and 3,207.27

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Solution

The fourth proportional to 5,566.50, 7,679.19 and 3,207.27 is: 4,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.50 : 7,679.19 = 3,207.27 : x
  2. Step 2: Convert to fraction form
    5,566.50/7,679.19 = 3,207.27/x
  3. Step 3: Cross multiply
    5,566.50x = 7,679.19 × 3,207.27
  4. Step 4: Simplify right side
    5,566.50x = 24,629,235.71
  5. Step 5: Solve for x
    x = 24,629,235.71/5,566.50
  6. Step 6: Final answer
    x = 4,424.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.