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Finding the Fourth Proportional to 3,805.38, 5,250.42 and 2,312.91

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Solution

The fourth proportional to 3,805.38, 5,250.42 and 2,312.91 is: 3,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.38 : 5,250.42 = 2,312.91 : x
  2. Step 2: Convert to fraction form
    3,805.38/5,250.42 = 2,312.91/x
  3. Step 3: Cross multiply
    3,805.38x = 5,250.42 × 2,312.91
  4. Step 4: Simplify right side
    3,805.38x = 12,143,748.92
  5. Step 5: Solve for x
    x = 12,143,748.92/3,805.38
  6. Step 6: Final answer
    x = 3,191.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.