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Finding the Fourth Proportional to 4,231, 5,838.78 and 2,462.50

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Solution

The fourth proportional to 4,231, 5,838.78 and 2,462.50 is: 3,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231 : 5,838.78 = 2,462.50 : x
  2. Step 2: Convert to fraction form
    4,231/5,838.78 = 2,462.50/x
  3. Step 3: Cross multiply
    4,231x = 5,838.78 × 2,462.50
  4. Step 4: Simplify right side
    4,231x = 14,377,995.75
  5. Step 5: Solve for x
    x = 14,377,995.75/4,231
  6. Step 6: Final answer
    x = 3,398.25

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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.