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Finding the Fourth Proportional to 5,178.94, 7,760.31 and 2,836.96

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Solution

The fourth proportional to 5,178.94, 7,760.31 and 2,836.96 is: 4,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 7,760.31 = 2,836.96 : x
  2. Step 2: Convert to fraction form
    5,178.94/7,760.31 = 2,836.96/x
  3. Step 3: Cross multiply
    5,178.94x = 7,760.31 × 2,836.96
  4. Step 4: Simplify right side
    5,178.94x = 22,015,689.06
  5. Step 5: Solve for x
    x = 22,015,689.06/5,178.94
  6. Step 6: Final answer
    x = 4,251.00

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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.