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Finding the Fourth Proportional to 4,269.84, 5,891.92 and 3,151.36

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Solution

The fourth proportional to 4,269.84, 5,891.92 and 3,151.36 is: 4,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.84 : 5,891.92 = 3,151.36 : x
  2. Step 2: Convert to fraction form
    4,269.84/5,891.92 = 3,151.36/x
  3. Step 3: Cross multiply
    4,269.84x = 5,891.92 × 3,151.36
  4. Step 4: Simplify right side
    4,269.84x = 18,567,561.01
  5. Step 5: Solve for x
    x = 18,567,561.01/4,269.84
  6. Step 6: Final answer
    x = 4,348.54

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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.