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Finding the Fourth Proportional to 5,561.66, 7,675.96 and 3,171.64

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Solution

The fourth proportional to 5,561.66, 7,675.96 and 3,171.64 is: 4,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.66 : 7,675.96 = 3,171.64 : x
  2. Step 2: Convert to fraction form
    5,561.66/7,675.96 = 3,171.64/x
  3. Step 3: Cross multiply
    5,561.66x = 7,675.96 × 3,171.64
  4. Step 4: Simplify right side
    5,561.66x = 24,345,327.54
  5. Step 5: Solve for x
    x = 24,345,327.54/5,561.66
  6. Step 6: Final answer
    x = 4,377.35

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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.