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Finding the Fourth Proportional to 5,864.38, 8,796.56 and 1,760.38

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Solution

The fourth proportional to 5,864.38, 8,796.56 and 1,760.38 is: 2,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.38 : 8,796.56 = 1,760.38 : x
  2. Step 2: Convert to fraction form
    5,864.38/8,796.56 = 1,760.38/x
  3. Step 3: Cross multiply
    5,864.38x = 8,796.56 × 1,760.38
  4. Step 4: Simplify right side
    5,864.38x = 15,485,288.29
  5. Step 5: Solve for x
    x = 15,485,288.29/5,864.38
  6. Step 6: Final answer
    x = 2,640.57

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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.