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Finding the Fourth Proportional to 5,736.74, 8,606.32 and 1,843.88

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Solution

The fourth proportional to 5,736.74, 8,606.32 and 1,843.88 is: 2,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.74 : 8,606.32 = 1,843.88 : x
  2. Step 2: Convert to fraction form
    5,736.74/8,606.32 = 1,843.88/x
  3. Step 3: Cross multiply
    5,736.74x = 8,606.32 × 1,843.88
  4. Step 4: Simplify right side
    5,736.74x = 15,868,973.68
  5. Step 5: Solve for x
    x = 15,868,973.68/5,736.74
  6. Step 6: Final answer
    x = 2,766.20

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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.