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Finding the Fourth Proportional to 4,591.13, 6,893.46 and 2,831.09

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Solution

The fourth proportional to 4,591.13, 6,893.46 and 2,831.09 is: 4,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.13 : 6,893.46 = 2,831.09 : x
  2. Step 2: Convert to fraction form
    4,591.13/6,893.46 = 2,831.09/x
  3. Step 3: Cross multiply
    4,591.13x = 6,893.46 × 2,831.09
  4. Step 4: Simplify right side
    4,591.13x = 19,515,971.20
  5. Step 5: Solve for x
    x = 19,515,971.20/4,591.13
  6. Step 6: Final answer
    x = 4,250.80

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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.