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Finding the Fourth Proportional to 5,309.82, 7,964.74 and 1,414.22

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Solution

The fourth proportional to 5,309.82, 7,964.74 and 1,414.22 is: 2,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.82 : 7,964.74 = 1,414.22 : x
  2. Step 2: Convert to fraction form
    5,309.82/7,964.74 = 1,414.22/x
  3. Step 3: Cross multiply
    5,309.82x = 7,964.74 × 1,414.22
  4. Step 4: Simplify right side
    5,309.82x = 11,263,894.60
  5. Step 5: Solve for x
    x = 11,263,894.60/5,309.82
  6. Step 6: Final answer
    x = 2,121.33

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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.