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Finding the Fourth Proportional to 3,617.50, 5,415.69 and 2,226.61

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Solution

The fourth proportional to 3,617.50, 5,415.69 and 2,226.61 is: 3,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.50 : 5,415.69 = 2,226.61 : x
  2. Step 2: Convert to fraction form
    3,617.50/5,415.69 = 2,226.61/x
  3. Step 3: Cross multiply
    3,617.50x = 5,415.69 × 2,226.61
  4. Step 4: Simplify right side
    3,617.50x = 12,058,629.51
  5. Step 5: Solve for x
    x = 12,058,629.51/3,617.50
  6. Step 6: Final answer
    x = 3,333.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.