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Finding the Fourth Proportional to 3,965.60, 5,472.09 and 2,196.77

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Solution

The fourth proportional to 3,965.60, 5,472.09 and 2,196.77 is: 3,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.60 : 5,472.09 = 2,196.77 : x
  2. Step 2: Convert to fraction form
    3,965.60/5,472.09 = 2,196.77/x
  3. Step 3: Cross multiply
    3,965.60x = 5,472.09 × 2,196.77
  4. Step 4: Simplify right side
    3,965.60x = 12,020,895.79
  5. Step 5: Solve for x
    x = 12,020,895.79/3,965.60
  6. Step 6: Final answer
    x = 3,031.29

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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.