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Finding the Fourth Proportional to 3,841.88, 5,759.22 and 2,084.31

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Solution

The fourth proportional to 3,841.88, 5,759.22 and 2,084.31 is: 3,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.88 : 5,759.22 = 2,084.31 : x
  2. Step 2: Convert to fraction form
    3,841.88/5,759.22 = 2,084.31/x
  3. Step 3: Cross multiply
    3,841.88x = 5,759.22 × 2,084.31
  4. Step 4: Simplify right side
    3,841.88x = 12,003,999.84
  5. Step 5: Solve for x
    x = 12,003,999.84/3,841.88
  6. Step 6: Final answer
    x = 3,124.51

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1.5x scale

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.