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Finding the Fourth Proportional to 5,691.16, 8,535.78 and 1,795

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Solution

The fourth proportional to 5,691.16, 8,535.78 and 1,795 is: 2,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.16 : 8,535.78 = 1,795 : x
  2. Step 2: Convert to fraction form
    5,691.16/8,535.78 = 1,795/x
  3. Step 3: Cross multiply
    5,691.16x = 8,535.78 × 1,795
  4. Step 4: Simplify right side
    5,691.16x = 15,321,725.10
  5. Step 5: Solve for x
    x = 15,321,725.10/5,691.16
  6. Step 6: Final answer
    x = 2,692.20

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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.