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Finding the Fourth Proportional to 5,700.73, 7,867.32 and 3,182.86

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Solution

The fourth proportional to 5,700.73, 7,867.32 and 3,182.86 is: 4,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.73 : 7,867.32 = 3,182.86 : x
  2. Step 2: Convert to fraction form
    5,700.73/7,867.32 = 3,182.86/x
  3. Step 3: Cross multiply
    5,700.73x = 7,867.32 × 3,182.86
  4. Step 4: Simplify right side
    5,700.73x = 25,040,578.14
  5. Step 5: Solve for x
    x = 25,040,578.14/5,700.73
  6. Step 6: Final answer
    x = 4,392.52

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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.