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Finding the Fourth Proportional to 3,467.25, 4,784.81 and 2,225.25

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Solution

The fourth proportional to 3,467.25, 4,784.81 and 2,225.25 is: 3,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.25 : 4,784.81 = 2,225.25 : x
  2. Step 2: Convert to fraction form
    3,467.25/4,784.81 = 2,225.25/x
  3. Step 3: Cross multiply
    3,467.25x = 4,784.81 × 2,225.25
  4. Step 4: Simplify right side
    3,467.25x = 10,647,387.33
  5. Step 5: Solve for x
    x = 10,647,387.33/3,467.25
  6. Step 6: Final answer
    x = 3,070.85

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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.