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Finding the Fourth Proportional to 5,794.26, 7,985.37 and 4,115.73

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Solution

The fourth proportional to 5,794.26, 7,985.37 and 4,115.73 is: 5,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.26 : 7,985.37 = 4,115.73 : x
  2. Step 2: Convert to fraction form
    5,794.26/7,985.37 = 4,115.73/x
  3. Step 3: Cross multiply
    5,794.26x = 7,985.37 × 4,115.73
  4. Step 4: Simplify right side
    5,794.26x = 32,865,626.87
  5. Step 5: Solve for x
    x = 32,865,626.87/5,794.26
  6. Step 6: Final answer
    x = 5,672.10

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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.