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Finding the Fourth Proportional to 5,257.35, 7,255.05 and 2,867.35

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Solution

The fourth proportional to 5,257.35, 7,255.05 and 2,867.35 is: 3,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.35 : 7,255.05 = 2,867.35 : x
  2. Step 2: Convert to fraction form
    5,257.35/7,255.05 = 2,867.35/x
  3. Step 3: Cross multiply
    5,257.35x = 7,255.05 × 2,867.35
  4. Step 4: Simplify right side
    5,257.35x = 20,802,767.62
  5. Step 5: Solve for x
    x = 20,802,767.62/5,257.35
  6. Step 6: Final answer
    x = 3,956.89

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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.