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Finding the Fourth Proportional to 5,896.38, 8,844.90 and 2,385.87

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Solution

The fourth proportional to 5,896.38, 8,844.90 and 2,385.87 is: 3,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.38 : 8,844.90 = 2,385.87 : x
  2. Step 2: Convert to fraction form
    5,896.38/8,844.90 = 2,385.87/x
  3. Step 3: Cross multiply
    5,896.38x = 8,844.90 × 2,385.87
  4. Step 4: Simplify right side
    5,896.38x = 21,102,751.89
  5. Step 5: Solve for x
    x = 21,102,751.89/5,896.38
  6. Step 6: Final answer
    x = 3,578.93

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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.