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Finding the Fourth Proportional to 3,834.50, 5,292.99 and 2,991.83

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Solution

The fourth proportional to 3,834.50, 5,292.99 and 2,991.83 is: 4,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.50 : 5,292.99 = 2,991.83 : x
  2. Step 2: Convert to fraction form
    3,834.50/5,292.99 = 2,991.83/x
  3. Step 3: Cross multiply
    3,834.50x = 5,292.99 × 2,991.83
  4. Step 4: Simplify right side
    3,834.50x = 15,835,699.81
  5. Step 5: Solve for x
    x = 15,835,699.81/3,834.50
  6. Step 6: Final answer
    x = 4,129.80

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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.