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Finding the Fourth Proportional to 3,790.80, 5,662.86 and 2,741.82

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Solution

The fourth proportional to 3,790.80, 5,662.86 and 2,741.82 is: 4,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.80 : 5,662.86 = 2,741.82 : x
  2. Step 2: Convert to fraction form
    3,790.80/5,662.86 = 2,741.82/x
  3. Step 3: Cross multiply
    3,790.80x = 5,662.86 × 2,741.82
  4. Step 4: Simplify right side
    3,790.80x = 15,526,542.81
  5. Step 5: Solve for x
    x = 15,526,542.81/3,790.80
  6. Step 6: Final answer
    x = 4,095.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.