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Finding the Fourth Proportional to 3,785.71, 5,223.93 and 2,107.21

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Solution

The fourth proportional to 3,785.71, 5,223.93 and 2,107.21 is: 2,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.71 : 5,223.93 = 2,107.21 : x
  2. Step 2: Convert to fraction form
    3,785.71/5,223.93 = 2,107.21/x
  3. Step 3: Cross multiply
    3,785.71x = 5,223.93 × 2,107.21
  4. Step 4: Simplify right side
    3,785.71x = 11,007,891.42
  5. Step 5: Solve for x
    x = 11,007,891.42/3,785.71
  6. Step 6: Final answer
    x = 2,907.75

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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.