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Finding the Fourth Proportional to 3,490.44, 5,232.36 and 1,297.68

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Solution

The fourth proportional to 3,490.44, 5,232.36 and 1,297.68 is: 1,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.44 : 5,232.36 = 1,297.68 : x
  2. Step 2: Convert to fraction form
    3,490.44/5,232.36 = 1,297.68/x
  3. Step 3: Cross multiply
    3,490.44x = 5,232.36 × 1,297.68
  4. Step 4: Simplify right side
    3,490.44x = 6,789,928.92
  5. Step 5: Solve for x
    x = 6,789,928.92/3,490.44
  6. Step 6: Final answer
    x = 1,945.29

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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.