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Finding the Fourth Proportional to 5,309.68, 7,964.70 and 1,414.48

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Solution

The fourth proportional to 5,309.68, 7,964.70 and 1,414.48 is: 2,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.68 : 7,964.70 = 1,414.48 : x
  2. Step 2: Convert to fraction form
    5,309.68/7,964.70 = 1,414.48/x
  3. Step 3: Cross multiply
    5,309.68x = 7,964.70 × 1,414.48
  4. Step 4: Simplify right side
    5,309.68x = 11,265,908.86
  5. Step 5: Solve for x
    x = 11,265,908.86/5,309.68
  6. Step 6: Final answer
    x = 2,121.77

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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.