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Finding the Fourth Proportional to 5,188.14, 7,789.13 and 3,083.69

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Solution

The fourth proportional to 5,188.14, 7,789.13 and 3,083.69 is: 4,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.14 : 7,789.13 = 3,083.69 : x
  2. Step 2: Convert to fraction form
    5,188.14/7,789.13 = 3,083.69/x
  3. Step 3: Cross multiply
    5,188.14x = 7,789.13 × 3,083.69
  4. Step 4: Simplify right side
    5,188.14x = 24,019,289.47
  5. Step 5: Solve for x
    x = 24,019,289.47/5,188.14
  6. Step 6: Final answer
    x = 4,629.65

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1.5x scale

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.