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Finding the Fourth Proportional to 3,790.80, 5,691.51 and 1,943.24

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Solution

The fourth proportional to 3,790.80, 5,691.51 and 1,943.24 is: 2,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.80 : 5,691.51 = 1,943.24 : x
  2. Step 2: Convert to fraction form
    3,790.80/5,691.51 = 1,943.24/x
  3. Step 3: Cross multiply
    3,790.80x = 5,691.51 × 1,943.24
  4. Step 4: Simplify right side
    3,790.80x = 11,059,941.43
  5. Step 5: Solve for x
    x = 11,059,941.43/3,790.80
  6. Step 6: Final answer
    x = 2,917.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.