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Finding the Fourth Proportional to 3,467.71, 4,785.99 and 2,209.32

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Solution

The fourth proportional to 3,467.71, 4,785.99 and 2,209.32 is: 3,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.71 : 4,785.99 = 2,209.32 : x
  2. Step 2: Convert to fraction form
    3,467.71/4,785.99 = 2,209.32/x
  3. Step 3: Cross multiply
    3,467.71x = 4,785.99 × 2,209.32
  4. Step 4: Simplify right side
    3,467.71x = 10,573,783.43
  5. Step 5: Solve for x
    x = 10,573,783.43/3,467.71
  6. Step 6: Final answer
    x = 3,049.21

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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.