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Finding the Fourth Proportional to 4,230.38, 5,837.94 and 2,367.38

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Solution

The fourth proportional to 4,230.38, 5,837.94 and 2,367.38 is: 3,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.38 : 5,837.94 = 2,367.38 : x
  2. Step 2: Convert to fraction form
    4,230.38/5,837.94 = 2,367.38/x
  3. Step 3: Cross multiply
    4,230.38x = 5,837.94 × 2,367.38
  4. Step 4: Simplify right side
    4,230.38x = 13,820,593.21
  5. Step 5: Solve for x
    x = 13,820,593.21/4,230.38
  6. Step 6: Final answer
    x = 3,266.99

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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.