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Finding the Fourth Proportional to 5,452.92, 7,524.12 and 3,214.49

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Solution

The fourth proportional to 5,452.92, 7,524.12 and 3,214.49 is: 4,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.92 : 7,524.12 = 3,214.49 : x
  2. Step 2: Convert to fraction form
    5,452.92/7,524.12 = 3,214.49/x
  3. Step 3: Cross multiply
    5,452.92x = 7,524.12 × 3,214.49
  4. Step 4: Simplify right side
    5,452.92x = 24,186,199.09
  5. Step 5: Solve for x
    x = 24,186,199.09/5,452.92
  6. Step 6: Final answer
    x = 4,435.46

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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.