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Finding the Fourth Proportional to 3,867.42, 5,801.07 and 945.75

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Solution

The fourth proportional to 3,867.42, 5,801.07 and 945.75 is: 1,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.42 : 5,801.07 = 945.75 : x
  2. Step 2: Convert to fraction form
    3,867.42/5,801.07 = 945.75/x
  3. Step 3: Cross multiply
    3,867.42x = 5,801.07 × 945.75
  4. Step 4: Simplify right side
    3,867.42x = 5,486,361.95
  5. Step 5: Solve for x
    x = 5,486,361.95/3,867.42
  6. Step 6: Final answer
    x = 1,418.61

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1.5x scale

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.