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Finding the Fourth Proportional to 5,796.85, 8,695.95 and 2,100.82

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Solution

The fourth proportional to 5,796.85, 8,695.95 and 2,100.82 is: 3,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.85 : 8,695.95 = 2,100.82 : x
  2. Step 2: Convert to fraction form
    5,796.85/8,695.95 = 2,100.82/x
  3. Step 3: Cross multiply
    5,796.85x = 8,695.95 × 2,100.82
  4. Step 4: Simplify right side
    5,796.85x = 18,268,625.68
  5. Step 5: Solve for x
    x = 18,268,625.68/5,796.85
  6. Step 6: Final answer
    x = 3,151.47

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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.