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Finding the Fourth Proportional to 3,424.64, 5,135.44 and 1,343.48

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Solution

The fourth proportional to 3,424.64, 5,135.44 and 1,343.48 is: 2,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.64 : 5,135.44 = 1,343.48 : x
  2. Step 2: Convert to fraction form
    3,424.64/5,135.44 = 1,343.48/x
  3. Step 3: Cross multiply
    3,424.64x = 5,135.44 × 1,343.48
  4. Step 4: Simplify right side
    3,424.64x = 6,899,360.93
  5. Step 5: Solve for x
    x = 6,899,360.93/3,424.64
  6. Step 6: Final answer
    x = 2,014.62

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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.