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Finding the Fourth Proportional to 3,874.92, 5,347.22 and 2,196.24

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Solution

The fourth proportional to 3,874.92, 5,347.22 and 2,196.24 is: 3,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.92 : 5,347.22 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    3,874.92/5,347.22 = 2,196.24/x
  3. Step 3: Cross multiply
    3,874.92x = 5,347.22 × 2,196.24
  4. Step 4: Simplify right side
    3,874.92x = 11,743,778.45
  5. Step 5: Solve for x
    x = 11,743,778.45/3,874.92
  6. Step 6: Final answer
    x = 3,030.72

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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.