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Finding the Fourth Proportional to 5,565.56, 7,679.82 and 3,207.80

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Solution

The fourth proportional to 5,565.56, 7,679.82 and 3,207.80 is: 4,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.56 : 7,679.82 = 3,207.80 : x
  2. Step 2: Convert to fraction form
    5,565.56/7,679.82 = 3,207.80/x
  3. Step 3: Cross multiply
    5,565.56x = 7,679.82 × 3,207.80
  4. Step 4: Simplify right side
    5,565.56x = 24,635,326.60
  5. Step 5: Solve for x
    x = 24,635,326.60/5,565.56
  6. Step 6: Final answer
    x = 4,426.39

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Why These Related Problems?

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