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Finding the Fourth Proportional to 5,686.66, 8,524.42 and 2,724.26

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Solution

The fourth proportional to 5,686.66, 8,524.42 and 2,724.26 is: 4,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.66 : 8,524.42 = 2,724.26 : x
  2. Step 2: Convert to fraction form
    5,686.66/8,524.42 = 2,724.26/x
  3. Step 3: Cross multiply
    5,686.66x = 8,524.42 × 2,724.26
  4. Step 4: Simplify right side
    5,686.66x = 23,222,750.93
  5. Step 5: Solve for x
    x = 23,222,750.93/5,686.66
  6. Step 6: Final answer
    x = 4,083.73

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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.