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Finding the Fourth Proportional to 5,309.67, 7,964.66 and 1,414.08

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Solution

The fourth proportional to 5,309.67, 7,964.66 and 1,414.08 is: 2,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.67 : 7,964.66 = 1,414.08 : x
  2. Step 2: Convert to fraction form
    5,309.67/7,964.66 = 1,414.08/x
  3. Step 3: Cross multiply
    5,309.67x = 7,964.66 × 1,414.08
  4. Step 4: Simplify right side
    5,309.67x = 11,262,659.34
  5. Step 5: Solve for x
    x = 11,262,659.34/5,309.67
  6. Step 6: Final answer
    x = 2,121.16

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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.