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Finding the Fourth Proportional to 3,452.96, 5,152.89 and 3,433.24

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Solution

The fourth proportional to 3,452.96, 5,152.89 and 3,433.24 is: 5,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.96 : 5,152.89 = 3,433.24 : x
  2. Step 2: Convert to fraction form
    3,452.96/5,152.89 = 3,433.24/x
  3. Step 3: Cross multiply
    3,452.96x = 5,152.89 × 3,433.24
  4. Step 4: Simplify right side
    3,452.96x = 17,691,103.76
  5. Step 5: Solve for x
    x = 17,691,103.76/3,452.96
  6. Step 6: Final answer
    x = 5,123.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.