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Finding the Fourth Proportional to 5,671.40, 7,824.38 and 4,182.86

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Solution

The fourth proportional to 5,671.40, 7,824.38 and 4,182.86 is: 5,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.40 : 7,824.38 = 4,182.86 : x
  2. Step 2: Convert to fraction form
    5,671.40/7,824.38 = 4,182.86/x
  3. Step 3: Cross multiply
    5,671.40x = 7,824.38 × 4,182.86
  4. Step 4: Simplify right side
    5,671.40x = 32,728,286.13
  5. Step 5: Solve for x
    x = 32,728,286.13/5,671.40
  6. Step 6: Final answer
    x = 5,770.76

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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.