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Finding the Fourth Proportional to 5,792.10, 8,687.34 and 1,896

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Solution

The fourth proportional to 5,792.10, 8,687.34 and 1,896 is: 2,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.10 : 8,687.34 = 1,896 : x
  2. Step 2: Convert to fraction form
    5,792.10/8,687.34 = 1,896/x
  3. Step 3: Cross multiply
    5,792.10x = 8,687.34 × 1,896
  4. Step 4: Simplify right side
    5,792.10x = 16,471,196.64
  5. Step 5: Solve for x
    x = 16,471,196.64/5,792.10
  6. Step 6: Final answer
    x = 2,843.73

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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.