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Finding the Fourth Proportional to 5,787.28, 7,986.43 and 3,134.68

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Solution

The fourth proportional to 5,787.28, 7,986.43 and 3,134.68 is: 4,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.28 : 7,986.43 = 3,134.68 : x
  2. Step 2: Convert to fraction form
    5,787.28/7,986.43 = 3,134.68/x
  3. Step 3: Cross multiply
    5,787.28x = 7,986.43 × 3,134.68
  4. Step 4: Simplify right side
    5,787.28x = 25,034,902.39
  5. Step 5: Solve for x
    x = 25,034,902.39/5,787.28
  6. Step 6: Final answer
    x = 4,325.85

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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.