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Finding the Fourth Proportional to 3,297.20, 4,947.12 and 2,424.12

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Solution

The fourth proportional to 3,297.20, 4,947.12 and 2,424.12 is: 3,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.20 : 4,947.12 = 2,424.12 : x
  2. Step 2: Convert to fraction form
    3,297.20/4,947.12 = 2,424.12/x
  3. Step 3: Cross multiply
    3,297.20x = 4,947.12 × 2,424.12
  4. Step 4: Simplify right side
    3,297.20x = 11,992,412.53
  5. Step 5: Solve for x
    x = 11,992,412.53/3,297.20
  6. Step 6: Final answer
    x = 3,637.15

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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.