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Finding the Fourth Proportional to 3,754.06, 5,179.34 and 2,429.44

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Solution

The fourth proportional to 3,754.06, 5,179.34 and 2,429.44 is: 3,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.06 : 5,179.34 = 2,429.44 : x
  2. Step 2: Convert to fraction form
    3,754.06/5,179.34 = 2,429.44/x
  3. Step 3: Cross multiply
    3,754.06x = 5,179.34 × 2,429.44
  4. Step 4: Simplify right side
    3,754.06x = 12,582,895.77
  5. Step 5: Solve for x
    x = 12,582,895.77/3,754.06
  6. Step 6: Final answer
    x = 3,351.81

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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.