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Finding the Fourth Proportional to 5,675.97, 7,832.58 and 3,157.88

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Solution

The fourth proportional to 5,675.97, 7,832.58 and 3,157.88 is: 4,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.97 : 7,832.58 = 3,157.88 : x
  2. Step 2: Convert to fraction form
    5,675.97/7,832.58 = 3,157.88/x
  3. Step 3: Cross multiply
    5,675.97x = 7,832.58 × 3,157.88
  4. Step 4: Simplify right side
    5,675.97x = 24,734,347.73
  5. Step 5: Solve for x
    x = 24,734,347.73/5,675.97
  6. Step 6: Final answer
    x = 4,357.73

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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.