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Finding the Fourth Proportional to 3,883.26, 5,822.91 and 1,417.44

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Solution

The fourth proportional to 3,883.26, 5,822.91 and 1,417.44 is: 2,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.26 : 5,822.91 = 1,417.44 : x
  2. Step 2: Convert to fraction form
    3,883.26/5,822.91 = 1,417.44/x
  3. Step 3: Cross multiply
    3,883.26x = 5,822.91 × 1,417.44
  4. Step 4: Simplify right side
    3,883.26x = 8,253,625.55
  5. Step 5: Solve for x
    x = 8,253,625.55/3,883.26
  6. Step 6: Final answer
    x = 2,125.44

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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.