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Finding the Fourth Proportional to 3,797.70, 5,241.30 and 2,305.52

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Solution

The fourth proportional to 3,797.70, 5,241.30 and 2,305.52 is: 3,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.70 : 5,241.30 = 2,305.52 : x
  2. Step 2: Convert to fraction form
    3,797.70/5,241.30 = 2,305.52/x
  3. Step 3: Cross multiply
    3,797.70x = 5,241.30 × 2,305.52
  4. Step 4: Simplify right side
    3,797.70x = 12,083,921.98
  5. Step 5: Solve for x
    x = 12,083,921.98/3,797.70
  6. Step 6: Final answer
    x = 3,181.91

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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.