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Finding the Fourth Proportional to 5,892.44, 8,837.94 and 2,429.24

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Solution

The fourth proportional to 5,892.44, 8,837.94 and 2,429.24 is: 3,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.44 : 8,837.94 = 2,429.24 : x
  2. Step 2: Convert to fraction form
    5,892.44/8,837.94 = 2,429.24/x
  3. Step 3: Cross multiply
    5,892.44x = 8,837.94 × 2,429.24
  4. Step 4: Simplify right side
    5,892.44x = 21,469,477.37
  5. Step 5: Solve for x
    x = 21,469,477.37/5,892.44
  6. Step 6: Final answer
    x = 3,643.56

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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.