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Finding the Fourth Proportional to 3,834.66, 5,753.02 and 2,079.26

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Solution

The fourth proportional to 3,834.66, 5,753.02 and 2,079.26 is: 3,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.66 : 5,753.02 = 2,079.26 : x
  2. Step 2: Convert to fraction form
    3,834.66/5,753.02 = 2,079.26/x
  3. Step 3: Cross multiply
    3,834.66x = 5,753.02 × 2,079.26
  4. Step 4: Simplify right side
    3,834.66x = 11,962,024.37
  5. Step 5: Solve for x
    x = 11,962,024.37/3,834.66
  6. Step 6: Final answer
    x = 3,119.45

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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.