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Finding the Fourth Proportional to 3,798.92, 5,241 and 2,306.28

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Solution

The fourth proportional to 3,798.92, 5,241 and 2,306.28 is: 3,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.92 : 5,241 = 2,306.28 : x
  2. Step 2: Convert to fraction form
    3,798.92/5,241 = 2,306.28/x
  3. Step 3: Cross multiply
    3,798.92x = 5,241 × 2,306.28
  4. Step 4: Simplify right side
    3,798.92x = 12,087,213.48
  5. Step 5: Solve for x
    x = 12,087,213.48/3,798.92
  6. Step 6: Final answer
    x = 3,181.75

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1.5x scale

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.