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Finding the Fourth Proportional to 5,646.30, 7,791.84 and 3,256.20

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Solution

The fourth proportional to 5,646.30, 7,791.84 and 3,256.20 is: 4,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.30 : 7,791.84 = 3,256.20 : x
  2. Step 2: Convert to fraction form
    5,646.30/7,791.84 = 3,256.20/x
  3. Step 3: Cross multiply
    5,646.30x = 7,791.84 × 3,256.20
  4. Step 4: Simplify right side
    5,646.30x = 25,371,789.41
  5. Step 5: Solve for x
    x = 25,371,789.41/5,646.30
  6. Step 6: Final answer
    x = 4,493.52

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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.