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Finding the Fourth Proportional to 3,309.66, 4,958.10 and 2,267.19

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Solution

The fourth proportional to 3,309.66, 4,958.10 and 2,267.19 is: 3,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.66 : 4,958.10 = 2,267.19 : x
  2. Step 2: Convert to fraction form
    3,309.66/4,958.10 = 2,267.19/x
  3. Step 3: Cross multiply
    3,309.66x = 4,958.10 × 2,267.19
  4. Step 4: Simplify right side
    3,309.66x = 11,240,954.74
  5. Step 5: Solve for x
    x = 11,240,954.74/3,309.66
  6. Step 6: Final answer
    x = 3,396.41

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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.