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Finding the Fourth Proportional to 5,823.77, 8,720.75 and 3,843.41

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Solution

The fourth proportional to 5,823.77, 8,720.75 and 3,843.41 is: 5,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.77 : 8,720.75 = 3,843.41 : x
  2. Step 2: Convert to fraction form
    5,823.77/8,720.75 = 3,843.41/x
  3. Step 3: Cross multiply
    5,823.77x = 8,720.75 × 3,843.41
  4. Step 4: Simplify right side
    5,823.77x = 33,517,383.76
  5. Step 5: Solve for x
    x = 33,517,383.76/5,823.77
  6. Step 6: Final answer
    x = 5,755.28

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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.