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Finding the Fourth Proportional to 4,305.84, 5,944.90 and 3,309.26

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Solution

The fourth proportional to 4,305.84, 5,944.90 and 3,309.26 is: 4,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.84 : 5,944.90 = 3,309.26 : x
  2. Step 2: Convert to fraction form
    4,305.84/5,944.90 = 3,309.26/x
  3. Step 3: Cross multiply
    4,305.84x = 5,944.90 × 3,309.26
  4. Step 4: Simplify right side
    4,305.84x = 19,673,219.77
  5. Step 5: Solve for x
    x = 19,673,219.77/4,305.84
  6. Step 6: Final answer
    x = 4,568.96

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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.