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Finding the Fourth Proportional to 4,647.82, 6,938.30 and 3,982.53

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Solution

The fourth proportional to 4,647.82, 6,938.30 and 3,982.53 is: 5,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.82 : 6,938.30 = 3,982.53 : x
  2. Step 2: Convert to fraction form
    4,647.82/6,938.30 = 3,982.53/x
  3. Step 3: Cross multiply
    4,647.82x = 6,938.30 × 3,982.53
  4. Step 4: Simplify right side
    4,647.82x = 27,631,987.90
  5. Step 5: Solve for x
    x = 27,631,987.90/4,647.82
  6. Step 6: Final answer
    x = 5,945.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.