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Finding the Fourth Proportional to 3,765.66, 5,196.29 and 2,087.00

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Solution

The fourth proportional to 3,765.66, 5,196.29 and 2,087.00 is: 2,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.66 : 5,196.29 = 2,087.00 : x
  2. Step 2: Convert to fraction form
    3,765.66/5,196.29 = 2,087.00/x
  3. Step 3: Cross multiply
    3,765.66x = 5,196.29 × 2,087.00
  4. Step 4: Simplify right side
    3,765.66x = 10,844,640.30
  5. Step 5: Solve for x
    x = 10,844,640.30/3,765.66
  6. Step 6: Final answer
    x = 2,879.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.