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Finding the Fourth Proportional to 5,306.11, 7,959.14 and 1,608.33

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Solution

The fourth proportional to 5,306.11, 7,959.14 and 1,608.33 is: 2,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.11 : 7,959.14 = 1,608.33 : x
  2. Step 2: Convert to fraction form
    5,306.11/7,959.14 = 1,608.33/x
  3. Step 3: Cross multiply
    5,306.11x = 7,959.14 × 1,608.33
  4. Step 4: Simplify right side
    5,306.11x = 12,800,923.64
  5. Step 5: Solve for x
    x = 12,800,923.64/5,306.11
  6. Step 6: Final answer
    x = 2,412.49

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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.