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Finding the Fourth Proportional to 3,452.35, 5,201.78 and 2,849.56

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Solution

The fourth proportional to 3,452.35, 5,201.78 and 2,849.56 is: 4,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.35 : 5,201.78 = 2,849.56 : x
  2. Step 2: Convert to fraction form
    3,452.35/5,201.78 = 2,849.56/x
  3. Step 3: Cross multiply
    3,452.35x = 5,201.78 × 2,849.56
  4. Step 4: Simplify right side
    3,452.35x = 14,822,784.22
  5. Step 5: Solve for x
    x = 14,822,784.22/3,452.35
  6. Step 6: Final answer
    x = 4,293.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.