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Finding the Fourth Proportional to 5,932.38, 8,896.74 and 2,035.86

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Solution

The fourth proportional to 5,932.38, 8,896.74 and 2,035.86 is: 3,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.38 : 8,896.74 = 2,035.86 : x
  2. Step 2: Convert to fraction form
    5,932.38/8,896.74 = 2,035.86/x
  3. Step 3: Cross multiply
    5,932.38x = 8,896.74 × 2,035.86
  4. Step 4: Simplify right side
    5,932.38x = 18,112,517.10
  5. Step 5: Solve for x
    x = 18,112,517.10/5,932.38
  6. Step 6: Final answer
    x = 3,053.16

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Why These Related Problems?

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