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Finding the Fourth Proportional to 3,743.92, 5,166.65 and 2,065.39

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Solution

The fourth proportional to 3,743.92, 5,166.65 and 2,065.39 is: 2,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.92 : 5,166.65 = 2,065.39 : x
  2. Step 2: Convert to fraction form
    3,743.92/5,166.65 = 2,065.39/x
  3. Step 3: Cross multiply
    3,743.92x = 5,166.65 × 2,065.39
  4. Step 4: Simplify right side
    3,743.92x = 10,671,147.24
  5. Step 5: Solve for x
    x = 10,671,147.24/3,743.92
  6. Step 6: Final answer
    x = 2,850.26

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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.