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Finding the Fourth Proportional to 3,700.78, 5,106.92 and 2,022.26

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Solution

The fourth proportional to 3,700.78, 5,106.92 and 2,022.26 is: 2,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.78 : 5,106.92 = 2,022.26 : x
  2. Step 2: Convert to fraction form
    3,700.78/5,106.92 = 2,022.26/x
  3. Step 3: Cross multiply
    3,700.78x = 5,106.92 × 2,022.26
  4. Step 4: Simplify right side
    3,700.78x = 10,327,511.13
  5. Step 5: Solve for x
    x = 10,327,511.13/3,700.78
  6. Step 6: Final answer
    x = 2,790.63

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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.