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Finding the Fourth Proportional to 3,645.40, 5,472.19 and 2,167.82

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Solution

The fourth proportional to 3,645.40, 5,472.19 and 2,167.82 is: 3,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.40 : 5,472.19 = 2,167.82 : x
  2. Step 2: Convert to fraction form
    3,645.40/5,472.19 = 2,167.82/x
  3. Step 3: Cross multiply
    3,645.40x = 5,472.19 × 2,167.82
  4. Step 4: Simplify right side
    3,645.40x = 11,862,722.93
  5. Step 5: Solve for x
    x = 11,862,722.93/3,645.40
  6. Step 6: Final answer
    x = 3,254.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.