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Finding the Fourth Proportional to 5,822.64, 8,031.54 and 3,832.48

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Solution

The fourth proportional to 5,822.64, 8,031.54 and 3,832.48 is: 5,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.64 : 8,031.54 = 3,832.48 : x
  2. Step 2: Convert to fraction form
    5,822.64/8,031.54 = 3,832.48/x
  3. Step 3: Cross multiply
    5,822.64x = 8,031.54 × 3,832.48
  4. Step 4: Simplify right side
    5,822.64x = 30,780,716.42
  5. Step 5: Solve for x
    x = 30,780,716.42/5,822.64
  6. Step 6: Final answer
    x = 5,286.38

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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.