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Finding the Fourth Proportional to 5,691.39, 7,852.80 and 3,452.82

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Solution

The fourth proportional to 5,691.39, 7,852.80 and 3,452.82 is: 4,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.39 : 7,852.80 = 3,452.82 : x
  2. Step 2: Convert to fraction form
    5,691.39/7,852.80 = 3,452.82/x
  3. Step 3: Cross multiply
    5,691.39x = 7,852.80 × 3,452.82
  4. Step 4: Simplify right side
    5,691.39x = 27,114,287.63
  5. Step 5: Solve for x
    x = 27,114,287.63/5,691.39
  6. Step 6: Final answer
    x = 4,764.09

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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.