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Finding the Fourth Proportional to 4,193, 5,786.34 and 2,537

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Solution

The fourth proportional to 4,193, 5,786.34 and 2,537 is: 3,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193 : 5,786.34 = 2,537 : x
  2. Step 2: Convert to fraction form
    4,193/5,786.34 = 2,537/x
  3. Step 3: Cross multiply
    4,193x = 5,786.34 × 2,537
  4. Step 4: Simplify right side
    4,193x = 14,679,944.58
  5. Step 5: Solve for x
    x = 14,679,944.58/4,193
  6. Step 6: Final answer
    x = 3,501.06

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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.