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Finding the Fourth Proportional to 3,830.64, 5,286.24 and 2,259.24

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Solution

The fourth proportional to 3,830.64, 5,286.24 and 2,259.24 is: 3,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.64 : 5,286.24 = 2,259.24 : x
  2. Step 2: Convert to fraction form
    3,830.64/5,286.24 = 2,259.24/x
  3. Step 3: Cross multiply
    3,830.64x = 5,286.24 × 2,259.24
  4. Step 4: Simplify right side
    3,830.64x = 11,942,884.86
  5. Step 5: Solve for x
    x = 11,942,884.86/3,830.64
  6. Step 6: Final answer
    x = 3,117.73

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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.