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Finding the Fourth Proportional to 3,700.74, 5,106.83 and 2,022.13

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Solution

The fourth proportional to 3,700.74, 5,106.83 and 2,022.13 is: 2,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.74 : 5,106.83 = 2,022.13 : x
  2. Step 2: Convert to fraction form
    3,700.74/5,106.83 = 2,022.13/x
  3. Step 3: Cross multiply
    3,700.74x = 5,106.83 × 2,022.13
  4. Step 4: Simplify right side
    3,700.74x = 10,326,651.27
  5. Step 5: Solve for x
    x = 10,326,651.27/3,700.74
  6. Step 6: Final answer
    x = 2,790.43

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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.