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Finding the Fourth Proportional to 3,795, 5,237.10 and 2,398.92

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Solution

The fourth proportional to 3,795, 5,237.10 and 2,398.92 is: 3,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795 : 5,237.10 = 2,398.92 : x
  2. Step 2: Convert to fraction form
    3,795/5,237.10 = 2,398.92/x
  3. Step 3: Cross multiply
    3,795x = 5,237.10 × 2,398.92
  4. Step 4: Simplify right side
    3,795x = 12,563,383.93
  5. Step 5: Solve for x
    x = 12,563,383.93/3,795
  6. Step 6: Final answer
    x = 3,310.51

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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.