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Finding the Fourth Proportional to 3,863, 5,794.50 and 1,127

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Solution

The fourth proportional to 3,863, 5,794.50 and 1,127 is: 1,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863 : 5,794.50 = 1,127 : x
  2. Step 2: Convert to fraction form
    3,863/5,794.50 = 1,127/x
  3. Step 3: Cross multiply
    3,863x = 5,794.50 × 1,127
  4. Step 4: Simplify right side
    3,863x = 6,530,401.50
  5. Step 5: Solve for x
    x = 6,530,401.50/3,863
  6. Step 6: Final answer
    x = 1,690.50

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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.