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Finding the Fourth Proportional to 3,765.51, 5,196.15 and 2,086.76

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Solution

The fourth proportional to 3,765.51, 5,196.15 and 2,086.76 is: 2,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.51 : 5,196.15 = 2,086.76 : x
  2. Step 2: Convert to fraction form
    3,765.51/5,196.15 = 2,086.76/x
  3. Step 3: Cross multiply
    3,765.51x = 5,196.15 × 2,086.76
  4. Step 4: Simplify right side
    3,765.51x = 10,843,117.97
  5. Step 5: Solve for x
    x = 10,843,117.97/3,765.51
  6. Step 6: Final answer
    x = 2,879.59

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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.