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Finding the Fourth Proportional to 5,837.24, 8,744.24 and 2,713.08

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Solution

The fourth proportional to 5,837.24, 8,744.24 and 2,713.08 is: 4,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.24 : 8,744.24 = 2,713.08 : x
  2. Step 2: Convert to fraction form
    5,837.24/8,744.24 = 2,713.08/x
  3. Step 3: Cross multiply
    5,837.24x = 8,744.24 × 2,713.08
  4. Step 4: Simplify right side
    5,837.24x = 23,723,822.66
  5. Step 5: Solve for x
    x = 23,723,822.66/5,837.24
  6. Step 6: Final answer
    x = 4,064.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.