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Finding the Fourth Proportional to 3,649.75, 5,036.87 and 2,077.85

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Solution

The fourth proportional to 3,649.75, 5,036.87 and 2,077.85 is: 2,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.75 : 5,036.87 = 2,077.85 : x
  2. Step 2: Convert to fraction form
    3,649.75/5,036.87 = 2,077.85/x
  3. Step 3: Cross multiply
    3,649.75x = 5,036.87 × 2,077.85
  4. Step 4: Simplify right side
    3,649.75x = 10,465,860.33
  5. Step 5: Solve for x
    x = 10,465,860.33/3,649.75
  6. Step 6: Final answer
    x = 2,867.56

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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.