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Finding the Fourth Proportional to 5,684.40, 7,844.34 and 3,166.56

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Solution

The fourth proportional to 5,684.40, 7,844.34 and 3,166.56 is: 4,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.40 : 7,844.34 = 3,166.56 : x
  2. Step 2: Convert to fraction form
    5,684.40/7,844.34 = 3,166.56/x
  3. Step 3: Cross multiply
    5,684.40x = 7,844.34 × 3,166.56
  4. Step 4: Simplify right side
    5,684.40x = 24,839,573.27
  5. Step 5: Solve for x
    x = 24,839,573.27/5,684.40
  6. Step 6: Final answer
    x = 4,369.78

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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.