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Finding the Fourth Proportional to 4,248.36, 6,370.04 and 2,167

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Solution

The fourth proportional to 4,248.36, 6,370.04 and 2,167 is: 3,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.36 : 6,370.04 = 2,167 : x
  2. Step 2: Convert to fraction form
    4,248.36/6,370.04 = 2,167/x
  3. Step 3: Cross multiply
    4,248.36x = 6,370.04 × 2,167
  4. Step 4: Simplify right side
    4,248.36x = 13,803,876.68
  5. Step 5: Solve for x
    x = 13,803,876.68/4,248.36
  6. Step 6: Final answer
    x = 3,249.22

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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.