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Finding the Fourth Proportional to 4,944.68, 6,822.72 and 3,056.48

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Solution

The fourth proportional to 4,944.68, 6,822.72 and 3,056.48 is: 4,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.68 : 6,822.72 = 3,056.48 : x
  2. Step 2: Convert to fraction form
    4,944.68/6,822.72 = 3,056.48/x
  3. Step 3: Cross multiply
    4,944.68x = 6,822.72 × 3,056.48
  4. Step 4: Simplify right side
    4,944.68x = 20,853,507.23
  5. Step 5: Solve for x
    x = 20,853,507.23/4,944.68
  6. Step 6: Final answer
    x = 4,217.36

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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.