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Finding the Fourth Proportional to 3,985.47, 5,974.16 and 1,647.14

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Solution

The fourth proportional to 3,985.47, 5,974.16 and 1,647.14 is: 2,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.47 : 5,974.16 = 1,647.14 : x
  2. Step 2: Convert to fraction form
    3,985.47/5,974.16 = 1,647.14/x
  3. Step 3: Cross multiply
    3,985.47x = 5,974.16 × 1,647.14
  4. Step 4: Simplify right side
    3,985.47x = 9,840,239.80
  5. Step 5: Solve for x
    x = 9,840,239.80/3,985.47
  6. Step 6: Final answer
    x = 2,469.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.