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Finding the Fourth Proportional to 5,257.74, 7,249.23 and 4,259.34

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Solution

The fourth proportional to 5,257.74, 7,249.23 and 4,259.34 is: 5,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.74 : 7,249.23 = 4,259.34 : x
  2. Step 2: Convert to fraction form
    5,257.74/7,249.23 = 4,259.34/x
  3. Step 3: Cross multiply
    5,257.74x = 7,249.23 × 4,259.34
  4. Step 4: Simplify right side
    5,257.74x = 30,876,935.31
  5. Step 5: Solve for x
    x = 30,876,935.31/5,257.74
  6. Step 6: Final answer
    x = 5,872.66

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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.