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Finding the Fourth Proportional to 3,762.42, 5,640.90 and 1,422.24

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Solution

The fourth proportional to 3,762.42, 5,640.90 and 1,422.24 is: 2,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.42 : 5,640.90 = 1,422.24 : x
  2. Step 2: Convert to fraction form
    3,762.42/5,640.90 = 1,422.24/x
  3. Step 3: Cross multiply
    3,762.42x = 5,640.90 × 1,422.24
  4. Step 4: Simplify right side
    3,762.42x = 8,022,713.62
  5. Step 5: Solve for x
    x = 8,022,713.62/3,762.42
  6. Step 6: Final answer
    x = 2,132.33

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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.