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Finding the Fourth Proportional to 5,791.74, 8,686.80 and 2,093.46

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Solution

The fourth proportional to 5,791.74, 8,686.80 and 2,093.46 is: 3,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.74 : 8,686.80 = 2,093.46 : x
  2. Step 2: Convert to fraction form
    5,791.74/8,686.80 = 2,093.46/x
  3. Step 3: Cross multiply
    5,791.74x = 8,686.80 × 2,093.46
  4. Step 4: Simplify right side
    5,791.74x = 18,185,468.33
  5. Step 5: Solve for x
    x = 18,185,468.33/5,791.74
  6. Step 6: Final answer
    x = 3,139.90

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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.