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Finding the Fourth Proportional to 5,566.32, 7,679.88 and 3,207.60

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Solution

The fourth proportional to 5,566.32, 7,679.88 and 3,207.60 is: 4,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.32 : 7,679.88 = 3,207.60 : x
  2. Step 2: Convert to fraction form
    5,566.32/7,679.88 = 3,207.60/x
  3. Step 3: Cross multiply
    5,566.32x = 7,679.88 × 3,207.60
  4. Step 4: Simplify right side
    5,566.32x = 24,633,983.09
  5. Step 5: Solve for x
    x = 24,633,983.09/5,566.32
  6. Step 6: Final answer
    x = 4,425.54

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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.