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Finding the Fourth Proportional to 3,751.82, 5,177.51 and 2,095.82

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Solution

The fourth proportional to 3,751.82, 5,177.51 and 2,095.82 is: 2,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.82 : 5,177.51 = 2,095.82 : x
  2. Step 2: Convert to fraction form
    3,751.82/5,177.51 = 2,095.82/x
  3. Step 3: Cross multiply
    3,751.82x = 5,177.51 × 2,095.82
  4. Step 4: Simplify right side
    3,751.82x = 10,851,092.64
  5. Step 5: Solve for x
    x = 10,851,092.64/3,751.82
  6. Step 6: Final answer
    x = 2,892.22

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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.