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Finding the Fourth Proportional to 3,675.78, 5,072.22 and 2,103.57

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Solution

The fourth proportional to 3,675.78, 5,072.22 and 2,103.57 is: 2,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.78 : 5,072.22 = 2,103.57 : x
  2. Step 2: Convert to fraction form
    3,675.78/5,072.22 = 2,103.57/x
  3. Step 3: Cross multiply
    3,675.78x = 5,072.22 × 2,103.57
  4. Step 4: Simplify right side
    3,675.78x = 10,669,769.83
  5. Step 5: Solve for x
    x = 10,669,769.83/3,675.78
  6. Step 6: Final answer
    x = 2,902.72

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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.