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Finding the Fourth Proportional to 3,872.69, 5,343.13 and 2,193.83

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Solution

The fourth proportional to 3,872.69, 5,343.13 and 2,193.83 is: 3,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.69 : 5,343.13 = 2,193.83 : x
  2. Step 2: Convert to fraction form
    3,872.69/5,343.13 = 2,193.83/x
  3. Step 3: Cross multiply
    3,872.69x = 5,343.13 × 2,193.83
  4. Step 4: Simplify right side
    3,872.69x = 11,721,918.89
  5. Step 5: Solve for x
    x = 11,721,918.89/3,872.69
  6. Step 6: Final answer
    x = 3,026.82

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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.