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Finding the Fourth Proportional to 3,743.86, 5,166.51 and 2,065.37

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Solution

The fourth proportional to 3,743.86, 5,166.51 and 2,065.37 is: 2,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.86 : 5,166.51 = 2,065.37 : x
  2. Step 2: Convert to fraction form
    3,743.86/5,166.51 = 2,065.37/x
  3. Step 3: Cross multiply
    3,743.86x = 5,166.51 × 2,065.37
  4. Step 4: Simplify right side
    3,743.86x = 10,670,730.87
  5. Step 5: Solve for x
    x = 10,670,730.87/3,743.86
  6. Step 6: Final answer
    x = 2,850.20

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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.