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Finding the Fourth Proportional to 3,754.83, 5,181.69 and 2,053.38

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Solution

The fourth proportional to 3,754.83, 5,181.69 and 2,053.38 is: 2,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.83 : 5,181.69 = 2,053.38 : x
  2. Step 2: Convert to fraction form
    3,754.83/5,181.69 = 2,053.38/x
  3. Step 3: Cross multiply
    3,754.83x = 5,181.69 × 2,053.38
  4. Step 4: Simplify right side
    3,754.83x = 10,639,978.61
  5. Step 5: Solve for x
    x = 10,639,978.61/3,754.83
  6. Step 6: Final answer
    x = 2,833.68

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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.