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Finding the Fourth Proportional to 3,768.54, 5,200.95 and 2,196.53

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Solution

The fourth proportional to 3,768.54, 5,200.95 and 2,196.53 is: 3,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.54 : 5,200.95 = 2,196.53 : x
  2. Step 2: Convert to fraction form
    3,768.54/5,200.95 = 2,196.53/x
  3. Step 3: Cross multiply
    3,768.54x = 5,200.95 × 2,196.53
  4. Step 4: Simplify right side
    3,768.54x = 11,424,042.70
  5. Step 5: Solve for x
    x = 11,424,042.70/3,768.54
  6. Step 6: Final answer
    x = 3,031.42

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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.