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Finding the Fourth Proportional to 5,791.84, 8,684.01 and 3,811.47

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Solution

The fourth proportional to 5,791.84, 8,684.01 and 3,811.47 is: 5,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.84 : 8,684.01 = 3,811.47 : x
  2. Step 2: Convert to fraction form
    5,791.84/8,684.01 = 3,811.47/x
  3. Step 3: Cross multiply
    5,791.84x = 8,684.01 × 3,811.47
  4. Step 4: Simplify right side
    5,791.84x = 33,098,843.59
  5. Step 5: Solve for x
    x = 33,098,843.59/5,791.84
  6. Step 6: Final answer
    x = 5,714.74

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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.