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Finding the Fourth Proportional to 3,965.71, 5,472.47 and 2,197.19

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Solution

The fourth proportional to 3,965.71, 5,472.47 and 2,197.19 is: 3,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.71 : 5,472.47 = 2,197.19 : x
  2. Step 2: Convert to fraction form
    3,965.71/5,472.47 = 2,197.19/x
  3. Step 3: Cross multiply
    3,965.71x = 5,472.47 × 2,197.19
  4. Step 4: Simplify right side
    3,965.71x = 12,024,056.36
  5. Step 5: Solve for x
    x = 12,024,056.36/3,965.71
  6. Step 6: Final answer
    x = 3,032.01

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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.