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Finding the Fourth Proportional to 6,338.36, 8,745.58 and 3,684.36

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Solution

The fourth proportional to 6,338.36, 8,745.58 and 3,684.36 is: 5,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.36 : 8,745.58 = 3,684.36 : x
  2. Step 2: Convert to fraction form
    6,338.36/8,745.58 = 3,684.36/x
  3. Step 3: Cross multiply
    6,338.36x = 8,745.58 × 3,684.36
  4. Step 4: Simplify right side
    6,338.36x = 32,221,865.13
  5. Step 5: Solve for x
    x = 32,221,865.13/6,338.36
  6. Step 6: Final answer
    x = 5,083.63

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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.