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Finding the Fourth Proportional to 4,627.33, 6,383.58 and 2,834.26

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Solution

The fourth proportional to 4,627.33, 6,383.58 and 2,834.26 is: 3,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.33 : 6,383.58 = 2,834.26 : x
  2. Step 2: Convert to fraction form
    4,627.33/6,383.58 = 2,834.26/x
  3. Step 3: Cross multiply
    4,627.33x = 6,383.58 × 2,834.26
  4. Step 4: Simplify right side
    4,627.33x = 18,092,698.86
  5. Step 5: Solve for x
    x = 18,092,698.86/4,627.33
  6. Step 6: Final answer
    x = 3,909.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.