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Finding the Fourth Proportional to 5,026.24, 6,936.12 and 2,788

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Solution

The fourth proportional to 5,026.24, 6,936.12 and 2,788 is: 3,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.24 : 6,936.12 = 2,788 : x
  2. Step 2: Convert to fraction form
    5,026.24/6,936.12 = 2,788/x
  3. Step 3: Cross multiply
    5,026.24x = 6,936.12 × 2,788
  4. Step 4: Simplify right side
    5,026.24x = 19,337,902.56
  5. Step 5: Solve for x
    x = 19,337,902.56/5,026.24
  6. Step 6: Final answer
    x = 3,847.39

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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.