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Finding the Fourth Proportional to 4,309.84, 5,947.59 and 2,446.84

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Solution

The fourth proportional to 4,309.84, 5,947.59 and 2,446.84 is: 3,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.84 : 5,947.59 = 2,446.84 : x
  2. Step 2: Convert to fraction form
    4,309.84/5,947.59 = 2,446.84/x
  3. Step 3: Cross multiply
    4,309.84x = 5,947.59 × 2,446.84
  4. Step 4: Simplify right side
    4,309.84x = 14,552,801.12
  5. Step 5: Solve for x
    x = 14,552,801.12/4,309.84
  6. Step 6: Final answer
    x = 3,376.65

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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.