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Finding the Fourth Proportional to 3,843.29, 5,766.22 and 1,503.88

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Solution

The fourth proportional to 3,843.29, 5,766.22 and 1,503.88 is: 2,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.29 : 5,766.22 = 1,503.88 : x
  2. Step 2: Convert to fraction form
    3,843.29/5,766.22 = 1,503.88/x
  3. Step 3: Cross multiply
    3,843.29x = 5,766.22 × 1,503.88
  4. Step 4: Simplify right side
    3,843.29x = 8,671,702.93
  5. Step 5: Solve for x
    x = 8,671,702.93/3,843.29
  6. Step 6: Final answer
    x = 2,256.32

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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.