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Finding the Fourth Proportional to 4,944.28, 6,822.06 and 2,847.64

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Solution

The fourth proportional to 4,944.28, 6,822.06 and 2,847.64 is: 3,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.28 : 6,822.06 = 2,847.64 : x
  2. Step 2: Convert to fraction form
    4,944.28/6,822.06 = 2,847.64/x
  3. Step 3: Cross multiply
    4,944.28x = 6,822.06 × 2,847.64
  4. Step 4: Simplify right side
    4,944.28x = 19,426,770.94
  5. Step 5: Solve for x
    x = 19,426,770.94/4,944.28
  6. Step 6: Final answer
    x = 3,929.14

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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.