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Finding the Fourth Proportional to 5,831.70, 8,747.34 and 1,936

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Solution

The fourth proportional to 5,831.70, 8,747.34 and 1,936 is: 2,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.70 : 8,747.34 = 1,936 : x
  2. Step 2: Convert to fraction form
    5,831.70/8,747.34 = 1,936/x
  3. Step 3: Cross multiply
    5,831.70x = 8,747.34 × 1,936
  4. Step 4: Simplify right side
    5,831.70x = 16,934,850.24
  5. Step 5: Solve for x
    x = 16,934,850.24/5,831.70
  6. Step 6: Final answer
    x = 2,903.93

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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.