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Finding the Fourth Proportional to 5,737.24, 7,924.02 and 3,845.80

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Solution

The fourth proportional to 5,737.24, 7,924.02 and 3,845.80 is: 5,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.24 : 7,924.02 = 3,845.80 : x
  2. Step 2: Convert to fraction form
    5,737.24/7,924.02 = 3,845.80/x
  3. Step 3: Cross multiply
    5,737.24x = 7,924.02 × 3,845.80
  4. Step 4: Simplify right side
    5,737.24x = 30,474,196.12
  5. Step 5: Solve for x
    x = 30,474,196.12/5,737.24
  6. Step 6: Final answer
    x = 5,311.65

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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.