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Finding the Fourth Proportional to 5,565.14, 7,679.90 and 3,207.22

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Solution

The fourth proportional to 5,565.14, 7,679.90 and 3,207.22 is: 4,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.14 : 7,679.90 = 3,207.22 : x
  2. Step 2: Convert to fraction form
    5,565.14/7,679.90 = 3,207.22/x
  3. Step 3: Cross multiply
    5,565.14x = 7,679.90 × 3,207.22
  4. Step 4: Simplify right side
    5,565.14x = 24,631,128.88
  5. Step 5: Solve for x
    x = 24,631,128.88/5,565.14
  6. Step 6: Final answer
    x = 4,425.97

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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.