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Finding the Fourth Proportional to 5,684.24, 7,844.22 and 3,166.46

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Solution

The fourth proportional to 5,684.24, 7,844.22 and 3,166.46 is: 4,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.24 : 7,844.22 = 3,166.46 : x
  2. Step 2: Convert to fraction form
    5,684.24/7,844.22 = 3,166.46/x
  3. Step 3: Cross multiply
    5,684.24x = 7,844.22 × 3,166.46
  4. Step 4: Simplify right side
    5,684.24x = 24,838,408.86
  5. Step 5: Solve for x
    x = 24,838,408.86/5,684.24
  6. Step 6: Final answer
    x = 4,369.70

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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.