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Finding the Fourth Proportional to 3,785.87, 5,675.13 and 1,837.01

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Solution

The fourth proportional to 3,785.87, 5,675.13 and 1,837.01 is: 2,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.87 : 5,675.13 = 1,837.01 : x
  2. Step 2: Convert to fraction form
    3,785.87/5,675.13 = 1,837.01/x
  3. Step 3: Cross multiply
    3,785.87x = 5,675.13 × 1,837.01
  4. Step 4: Simplify right side
    3,785.87x = 10,425,270.56
  5. Step 5: Solve for x
    x = 10,425,270.56/3,785.87
  6. Step 6: Final answer
    x = 2,753.73

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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.