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Finding the Fourth Proportional to 3,767.00, 5,198.29 and 2,088.38

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Solution

The fourth proportional to 3,767.00, 5,198.29 and 2,088.38 is: 2,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.00 : 5,198.29 = 2,088.38 : x
  2. Step 2: Convert to fraction form
    3,767.00/5,198.29 = 2,088.38/x
  3. Step 3: Cross multiply
    3,767.00x = 5,198.29 × 2,088.38
  4. Step 4: Simplify right side
    3,767.00x = 10,856,012.64
  5. Step 5: Solve for x
    x = 10,856,012.64/3,767.00
  6. Step 6: Final answer
    x = 2,881.88

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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.