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Finding the Fourth Proportional to 5,834.70, 8,048.99 and 3,844.53

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Solution

The fourth proportional to 5,834.70, 8,048.99 and 3,844.53 is: 5,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.70 : 8,048.99 = 3,844.53 : x
  2. Step 2: Convert to fraction form
    5,834.70/8,048.99 = 3,844.53/x
  3. Step 3: Cross multiply
    5,834.70x = 8,048.99 × 3,844.53
  4. Step 4: Simplify right side
    5,834.70x = 30,944,593.14
  5. Step 5: Solve for x
    x = 30,944,593.14/5,834.70
  6. Step 6: Final answer
    x = 5,303.54

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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.