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Finding the Fourth Proportional to 5,309.73, 7,964.64 and 1,414.17

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Solution

The fourth proportional to 5,309.73, 7,964.64 and 1,414.17 is: 2,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.73 : 7,964.64 = 1,414.17 : x
  2. Step 2: Convert to fraction form
    5,309.73/7,964.64 = 1,414.17/x
  3. Step 3: Cross multiply
    5,309.73x = 7,964.64 × 1,414.17
  4. Step 4: Simplify right side
    5,309.73x = 11,263,354.95
  5. Step 5: Solve for x
    x = 11,263,354.95/5,309.73
  6. Step 6: Final answer
    x = 2,121.27

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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.