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Finding the Fourth Proportional to 3,893.22, 5,834.07 and 2,334.06

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Solution

The fourth proportional to 3,893.22, 5,834.07 and 2,334.06 is: 3,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.22 : 5,834.07 = 2,334.06 : x
  2. Step 2: Convert to fraction form
    3,893.22/5,834.07 = 2,334.06/x
  3. Step 3: Cross multiply
    3,893.22x = 5,834.07 × 2,334.06
  4. Step 4: Simplify right side
    3,893.22x = 13,617,069.42
  5. Step 5: Solve for x
    x = 13,617,069.42/3,893.22
  6. Step 6: Final answer
    x = 3,497.64

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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.