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Finding the Fourth Proportional to 4,944.09, 6,822.78 and 2,705.93

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Solution

The fourth proportional to 4,944.09, 6,822.78 and 2,705.93 is: 3,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.09 : 6,822.78 = 2,705.93 : x
  2. Step 2: Convert to fraction form
    4,944.09/6,822.78 = 2,705.93/x
  3. Step 3: Cross multiply
    4,944.09x = 6,822.78 × 2,705.93
  4. Step 4: Simplify right side
    4,944.09x = 18,461,965.09
  5. Step 5: Solve for x
    x = 18,461,965.09/4,944.09
  6. Step 6: Final answer
    x = 3,734.15

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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.