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Finding the Fourth Proportional to 3,647.72, 5,030.16 and 2,982.44

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Solution

The fourth proportional to 3,647.72, 5,030.16 and 2,982.44 is: 4,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.72 : 5,030.16 = 2,982.44 : x
  2. Step 2: Convert to fraction form
    3,647.72/5,030.16 = 2,982.44/x
  3. Step 3: Cross multiply
    3,647.72x = 5,030.16 × 2,982.44
  4. Step 4: Simplify right side
    3,647.72x = 15,002,150.39
  5. Step 5: Solve for x
    x = 15,002,150.39/3,647.72
  6. Step 6: Final answer
    x = 4,112.75

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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.