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Finding the Fourth Proportional to 4,944.48, 6,822.72 and 2,848.74

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Solution

The fourth proportional to 4,944.48, 6,822.72 and 2,848.74 is: 3,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.48 : 6,822.72 = 2,848.74 : x
  2. Step 2: Convert to fraction form
    4,944.48/6,822.72 = 2,848.74/x
  3. Step 3: Cross multiply
    4,944.48x = 6,822.72 × 2,848.74
  4. Step 4: Simplify right side
    4,944.48x = 19,436,155.37
  5. Step 5: Solve for x
    x = 19,436,155.37/4,944.48
  6. Step 6: Final answer
    x = 3,930.88

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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.