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Finding the Fourth Proportional to 5,771.68, 8,649 and 2,643.97

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Solution

The fourth proportional to 5,771.68, 8,649 and 2,643.97 is: 3,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.68 : 8,649 = 2,643.97 : x
  2. Step 2: Convert to fraction form
    5,771.68/8,649 = 2,643.97/x
  3. Step 3: Cross multiply
    5,771.68x = 8,649 × 2,643.97
  4. Step 4: Simplify right side
    5,771.68x = 22,867,696.53
  5. Step 5: Solve for x
    x = 22,867,696.53/5,771.68
  6. Step 6: Final answer
    x = 3,962.05

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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.