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Finding the Fourth Proportional to 3,700.68, 5,106.78 and 2,022.06

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Solution

The fourth proportional to 3,700.68, 5,106.78 and 2,022.06 is: 2,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.68 : 5,106.78 = 2,022.06 : x
  2. Step 2: Convert to fraction form
    3,700.68/5,106.78 = 2,022.06/x
  3. Step 3: Cross multiply
    3,700.68x = 5,106.78 × 2,022.06
  4. Step 4: Simplify right side
    3,700.68x = 10,326,215.57
  5. Step 5: Solve for x
    x = 10,326,215.57/3,700.68
  6. Step 6: Final answer
    x = 2,790.36

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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.