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Finding the Fourth Proportional to 5,728.75, 7,904.48 and 3,371.15

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Solution

The fourth proportional to 5,728.75, 7,904.48 and 3,371.15 is: 4,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.75 : 7,904.48 = 3,371.15 : x
  2. Step 2: Convert to fraction form
    5,728.75/7,904.48 = 3,371.15/x
  3. Step 3: Cross multiply
    5,728.75x = 7,904.48 × 3,371.15
  4. Step 4: Simplify right side
    5,728.75x = 26,647,170.90
  5. Step 5: Solve for x
    x = 26,647,170.90/5,728.75
  6. Step 6: Final answer
    x = 4,651.48

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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.