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Finding the Fourth Proportional to 5,164.73, 7,737.14 and 3,086.39

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Solution

The fourth proportional to 5,164.73, 7,737.14 and 3,086.39 is: 4,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.73 : 7,737.14 = 3,086.39 : x
  2. Step 2: Convert to fraction form
    5,164.73/7,737.14 = 3,086.39/x
  3. Step 3: Cross multiply
    5,164.73x = 7,737.14 × 3,086.39
  4. Step 4: Simplify right side
    5,164.73x = 23,879,831.52
  5. Step 5: Solve for x
    x = 23,879,831.52/5,164.73
  6. Step 6: Final answer
    x = 4,623.64

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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.