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Finding the Fourth Proportional to 3,965.45, 5,472.36 and 2,197.08

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Solution

The fourth proportional to 3,965.45, 5,472.36 and 2,197.08 is: 3,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.45 : 5,472.36 = 2,197.08 : x
  2. Step 2: Convert to fraction form
    3,965.45/5,472.36 = 2,197.08/x
  3. Step 3: Cross multiply
    3,965.45x = 5,472.36 × 2,197.08
  4. Step 4: Simplify right side
    3,965.45x = 12,023,212.71
  5. Step 5: Solve for x
    x = 12,023,212.71/3,965.45
  6. Step 6: Final answer
    x = 3,031.99

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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.