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Finding the Fourth Proportional to 3,965.47, 5,472.09 and 2,197.04

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Solution

The fourth proportional to 3,965.47, 5,472.09 and 2,197.04 is: 3,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.47 : 5,472.09 = 2,197.04 : x
  2. Step 2: Convert to fraction form
    3,965.47/5,472.09 = 2,197.04/x
  3. Step 3: Cross multiply
    3,965.47x = 5,472.09 × 2,197.04
  4. Step 4: Simplify right side
    3,965.47x = 12,022,373.25
  5. Step 5: Solve for x
    x = 12,022,373.25/3,965.47
  6. Step 6: Final answer
    x = 3,031.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.