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Finding the Fourth Proportional to 3,769.54, 5,202.33 and 2,197.53

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Solution

The fourth proportional to 3,769.54, 5,202.33 and 2,197.53 is: 3,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.54 : 5,202.33 = 2,197.53 : x
  2. Step 2: Convert to fraction form
    3,769.54/5,202.33 = 2,197.53/x
  3. Step 3: Cross multiply
    3,769.54x = 5,202.33 × 2,197.53
  4. Step 4: Simplify right side
    3,769.54x = 11,432,276.24
  5. Step 5: Solve for x
    x = 11,432,276.24/3,769.54
  6. Step 6: Final answer
    x = 3,032.80

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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.