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Finding the Fourth Proportional to 5,941.97, 8,200.04 and 3,423.66

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Solution

The fourth proportional to 5,941.97, 8,200.04 and 3,423.66 is: 4,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.97 : 8,200.04 = 3,423.66 : x
  2. Step 2: Convert to fraction form
    5,941.97/8,200.04 = 3,423.66/x
  3. Step 3: Cross multiply
    5,941.97x = 8,200.04 × 3,423.66
  4. Step 4: Simplify right side
    5,941.97x = 28,074,124.14
  5. Step 5: Solve for x
    x = 28,074,124.14/5,941.97
  6. Step 6: Final answer
    x = 4,724.71

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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.