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Finding the Fourth Proportional to 3,814.43, 5,264.36 and 2,323.22

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Solution

The fourth proportional to 3,814.43, 5,264.36 and 2,323.22 is: 3,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.43 : 5,264.36 = 2,323.22 : x
  2. Step 2: Convert to fraction form
    3,814.43/5,264.36 = 2,323.22/x
  3. Step 3: Cross multiply
    3,814.43x = 5,264.36 × 2,323.22
  4. Step 4: Simplify right side
    3,814.43x = 12,230,266.44
  5. Step 5: Solve for x
    x = 12,230,266.44/3,814.43
  6. Step 6: Final answer
    x = 3,206.32

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Why These Related Problems?

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