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Finding the Fourth Proportional to 3,897.68, 5,377.23 and 2,195.78

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Solution

The fourth proportional to 3,897.68, 5,377.23 and 2,195.78 is: 3,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.68 : 5,377.23 = 2,195.78 : x
  2. Step 2: Convert to fraction form
    3,897.68/5,377.23 = 2,195.78/x
  3. Step 3: Cross multiply
    3,897.68x = 5,377.23 × 2,195.78
  4. Step 4: Simplify right side
    3,897.68x = 11,807,187.20
  5. Step 5: Solve for x
    x = 11,807,187.20/3,897.68
  6. Step 6: Final answer
    x = 3,029.29

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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.