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Finding the Fourth Proportional to 3,965.44, 5,472.62 and 2,197.21

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Solution

The fourth proportional to 3,965.44, 5,472.62 and 2,197.21 is: 3,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.44 : 5,472.62 = 2,197.21 : x
  2. Step 2: Convert to fraction form
    3,965.44/5,472.62 = 2,197.21/x
  3. Step 3: Cross multiply
    3,965.44x = 5,472.62 × 2,197.21
  4. Step 4: Simplify right side
    3,965.44x = 12,024,495.39
  5. Step 5: Solve for x
    x = 12,024,495.39/3,965.44
  6. Step 6: Final answer
    x = 3,032.32

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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.