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Finding the Fourth Proportional to 6,452.82, 8,902.53 and 3,934.08

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Solution

The fourth proportional to 6,452.82, 8,902.53 and 3,934.08 is: 5,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.82 : 8,902.53 = 3,934.08 : x
  2. Step 2: Convert to fraction form
    6,452.82/8,902.53 = 3,934.08/x
  3. Step 3: Cross multiply
    6,452.82x = 8,902.53 × 3,934.08
  4. Step 4: Simplify right side
    6,452.82x = 35,023,265.22
  5. Step 5: Solve for x
    x = 35,023,265.22/6,452.82
  6. Step 6: Final answer
    x = 5,427.59

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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.