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Finding the Fourth Proportional to 3,965.79, 5,472.43 and 2,196.93

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Solution

The fourth proportional to 3,965.79, 5,472.43 and 2,196.93 is: 3,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.79 : 5,472.43 = 2,196.93 : x
  2. Step 2: Convert to fraction form
    3,965.79/5,472.43 = 2,196.93/x
  3. Step 3: Cross multiply
    3,965.79x = 5,472.43 × 2,196.93
  4. Step 4: Simplify right side
    3,965.79x = 12,022,545.64
  5. Step 5: Solve for x
    x = 12,022,545.64/3,965.79
  6. Step 6: Final answer
    x = 3,031.56

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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.