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Finding the Fourth Proportional to 5,286.52, 7,263.83 and 4,945.24

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Solution

The fourth proportional to 5,286.52, 7,263.83 and 4,945.24 is: 6,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.52 : 7,263.83 = 4,945.24 : x
  2. Step 2: Convert to fraction form
    5,286.52/7,263.83 = 4,945.24/x
  3. Step 3: Cross multiply
    5,286.52x = 7,263.83 × 4,945.24
  4. Step 4: Simplify right side
    5,286.52x = 35,921,382.67
  5. Step 5: Solve for x
    x = 35,921,382.67/5,286.52
  6. Step 6: Final answer
    x = 6,794.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.