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Finding the Fourth Proportional to 5,675.46, 7,832.02 and 3,157.52

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Solution

The fourth proportional to 5,675.46, 7,832.02 and 3,157.52 is: 4,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.46 : 7,832.02 = 3,157.52 : x
  2. Step 2: Convert to fraction form
    5,675.46/7,832.02 = 3,157.52/x
  3. Step 3: Cross multiply
    5,675.46x = 7,832.02 × 3,157.52
  4. Step 4: Simplify right side
    5,675.46x = 24,729,759.79
  5. Step 5: Solve for x
    x = 24,729,759.79/5,675.46
  6. Step 6: Final answer
    x = 4,357.31

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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.