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Finding the Fourth Proportional to 6,338.71, 8,745.66 and 3,649.81

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Solution

The fourth proportional to 6,338.71, 8,745.66 and 3,649.81 is: 5,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.71 : 8,745.66 = 3,649.81 : x
  2. Step 2: Convert to fraction form
    6,338.71/8,745.66 = 3,649.81/x
  3. Step 3: Cross multiply
    6,338.71x = 8,745.66 × 3,649.81
  4. Step 4: Simplify right side
    6,338.71x = 31,919,997.32
  5. Step 5: Solve for x
    x = 31,919,997.32/6,338.71
  6. Step 6: Final answer
    x = 5,035.72

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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.