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Finding the Fourth Proportional to 5,150.78, 7,728.16 and 2,032.28

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Solution

The fourth proportional to 5,150.78, 7,728.16 and 2,032.28 is: 3,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.78 : 7,728.16 = 2,032.28 : x
  2. Step 2: Convert to fraction form
    5,150.78/7,728.16 = 2,032.28/x
  3. Step 3: Cross multiply
    5,150.78x = 7,728.16 × 2,032.28
  4. Step 4: Simplify right side
    5,150.78x = 15,705,785.00
  5. Step 5: Solve for x
    x = 15,705,785.00/5,150.78
  6. Step 6: Final answer
    x = 3,049.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.