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Finding the Fourth Proportional to 5,452.52, 7,523.94 and 3,213.58

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Solution

The fourth proportional to 5,452.52, 7,523.94 and 3,213.58 is: 4,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.52 : 7,523.94 = 3,213.58 : x
  2. Step 2: Convert to fraction form
    5,452.52/7,523.94 = 3,213.58/x
  3. Step 3: Cross multiply
    5,452.52x = 7,523.94 × 3,213.58
  4. Step 4: Simplify right side
    5,452.52x = 24,178,783.11
  5. Step 5: Solve for x
    x = 24,178,783.11/5,452.52
  6. Step 6: Final answer
    x = 4,434.42

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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.