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Finding the Fourth Proportional to 3,440.42, 4,744.28 and 2,944.70

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Solution

The fourth proportional to 3,440.42, 4,744.28 and 2,944.70 is: 4,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.42 : 4,744.28 = 2,944.70 : x
  2. Step 2: Convert to fraction form
    3,440.42/4,744.28 = 2,944.70/x
  3. Step 3: Cross multiply
    3,440.42x = 4,744.28 × 2,944.70
  4. Step 4: Simplify right side
    3,440.42x = 13,970,481.32
  5. Step 5: Solve for x
    x = 13,970,481.32/3,440.42
  6. Step 6: Final answer
    x = 4,060.69

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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.