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Finding the Fourth Proportional to 4,944.06, 6,822.90 and 2,954.70

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Solution

The fourth proportional to 4,944.06, 6,822.90 and 2,954.70 is: 4,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.06 : 6,822.90 = 2,954.70 : x
  2. Step 2: Convert to fraction form
    4,944.06/6,822.90 = 2,954.70/x
  3. Step 3: Cross multiply
    4,944.06x = 6,822.90 × 2,954.70
  4. Step 4: Simplify right side
    4,944.06x = 20,159,622.63
  5. Step 5: Solve for x
    x = 20,159,622.63/4,944.06
  6. Step 6: Final answer
    x = 4,077.54

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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.