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Finding the Fourth Proportional to 4,891.14, 6,743.61 and 4,083.93

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Solution

The fourth proportional to 4,891.14, 6,743.61 and 4,083.93 is: 5,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.14 : 6,743.61 = 4,083.93 : x
  2. Step 2: Convert to fraction form
    4,891.14/6,743.61 = 4,083.93/x
  3. Step 3: Cross multiply
    4,891.14x = 6,743.61 × 4,083.93
  4. Step 4: Simplify right side
    4,891.14x = 27,540,431.19
  5. Step 5: Solve for x
    x = 27,540,431.19/4,891.14
  6. Step 6: Final answer
    x = 5,630.68

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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.