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Finding the Fourth Proportional to 3,797.64, 5,241.38 and 2,805.80

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Solution

The fourth proportional to 3,797.64, 5,241.38 and 2,805.80 is: 3,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.64 : 5,241.38 = 2,805.80 : x
  2. Step 2: Convert to fraction form
    3,797.64/5,241.38 = 2,805.80/x
  3. Step 3: Cross multiply
    3,797.64x = 5,241.38 × 2,805.80
  4. Step 4: Simplify right side
    3,797.64x = 14,706,223.77
  5. Step 5: Solve for x
    x = 14,706,223.77/3,797.64
  6. Step 6: Final answer
    x = 3,872.46

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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.