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Finding the Fourth Proportional to 5,684.82, 7,844.48 and 3,166.83

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Solution

The fourth proportional to 5,684.82, 7,844.48 and 3,166.83 is: 4,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.82 : 7,844.48 = 3,166.83 : x
  2. Step 2: Convert to fraction form
    5,684.82/7,844.48 = 3,166.83/x
  3. Step 3: Cross multiply
    5,684.82x = 7,844.48 × 3,166.83
  4. Step 4: Simplify right side
    5,684.82x = 24,842,079.54
  5. Step 5: Solve for x
    x = 24,842,079.54/5,684.82
  6. Step 6: Final answer
    x = 4,369.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.