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Finding the Fourth Proportional to 3,612.25, 4,982.34 and 2,284.66

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Solution

The fourth proportional to 3,612.25, 4,982.34 and 2,284.66 is: 3,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.25 : 4,982.34 = 2,284.66 : x
  2. Step 2: Convert to fraction form
    3,612.25/4,982.34 = 2,284.66/x
  3. Step 3: Cross multiply
    3,612.25x = 4,982.34 × 2,284.66
  4. Step 4: Simplify right side
    3,612.25x = 11,382,952.90
  5. Step 5: Solve for x
    x = 11,382,952.90/3,612.25
  6. Step 6: Final answer
    x = 3,151.21

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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.