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Finding the Fourth Proportional to 4,169.84, 5,759.01 and 3,236.91

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Solution

The fourth proportional to 4,169.84, 5,759.01 and 3,236.91 is: 4,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.84 : 5,759.01 = 3,236.91 : x
  2. Step 2: Convert to fraction form
    4,169.84/5,759.01 = 3,236.91/x
  3. Step 3: Cross multiply
    4,169.84x = 5,759.01 × 3,236.91
  4. Step 4: Simplify right side
    4,169.84x = 18,641,397.06
  5. Step 5: Solve for x
    x = 18,641,397.06/4,169.84
  6. Step 6: Final answer
    x = 4,470.54

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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.