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Finding the Fourth Proportional to 3,863.16, 5,798.52 and 2,769.48

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Solution

The fourth proportional to 3,863.16, 5,798.52 and 2,769.48 is: 4,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.16 : 5,798.52 = 2,769.48 : x
  2. Step 2: Convert to fraction form
    3,863.16/5,798.52 = 2,769.48/x
  3. Step 3: Cross multiply
    3,863.16x = 5,798.52 × 2,769.48
  4. Step 4: Simplify right side
    3,863.16x = 16,058,885.17
  5. Step 5: Solve for x
    x = 16,058,885.17/3,863.16
  6. Step 6: Final answer
    x = 4,156.93

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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.