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Finding the Fourth Proportional to 3,467.35, 4,773.86 and 2,806.39

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Solution

The fourth proportional to 3,467.35, 4,773.86 and 2,806.39 is: 3,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.35 : 4,773.86 = 2,806.39 : x
  2. Step 2: Convert to fraction form
    3,467.35/4,773.86 = 2,806.39/x
  3. Step 3: Cross multiply
    3,467.35x = 4,773.86 × 2,806.39
  4. Step 4: Simplify right side
    3,467.35x = 13,397,312.97
  5. Step 5: Solve for x
    x = 13,397,312.97/3,467.35
  6. Step 6: Final answer
    x = 3,863.85

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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.