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Finding the Fourth Proportional to 5,247.52, 7,867.62 and 2,324.22

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Solution

The fourth proportional to 5,247.52, 7,867.62 and 2,324.22 is: 3,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.52 : 7,867.62 = 2,324.22 : x
  2. Step 2: Convert to fraction form
    5,247.52/7,867.62 = 2,324.22/x
  3. Step 3: Cross multiply
    5,247.52x = 7,867.62 × 2,324.22
  4. Step 4: Simplify right side
    5,247.52x = 18,286,079.76
  5. Step 5: Solve for x
    x = 18,286,079.76/5,247.52
  6. Step 6: Final answer
    x = 3,484.71

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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.