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Finding the Fourth Proportional to 5,629.73, 7,768.59 and 3,272

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Solution

The fourth proportional to 5,629.73, 7,768.59 and 3,272 is: 4,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.73 : 7,768.59 = 3,272 : x
  2. Step 2: Convert to fraction form
    5,629.73/7,768.59 = 3,272/x
  3. Step 3: Cross multiply
    5,629.73x = 7,768.59 × 3,272
  4. Step 4: Simplify right side
    5,629.73x = 25,418,826.48
  5. Step 5: Solve for x
    x = 25,418,826.48/5,629.73
  6. Step 6: Final answer
    x = 4,515.11

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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.