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Finding the Fourth Proportional to 4,137.82, 6,205.37 and 1,363.82

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Solution

The fourth proportional to 4,137.82, 6,205.37 and 1,363.82 is: 2,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.82 : 6,205.37 = 1,363.82 : x
  2. Step 2: Convert to fraction form
    4,137.82/6,205.37 = 1,363.82/x
  3. Step 3: Cross multiply
    4,137.82x = 6,205.37 × 1,363.82
  4. Step 4: Simplify right side
    4,137.82x = 8,462,969.87
  5. Step 5: Solve for x
    x = 8,462,969.87/4,137.82
  6. Step 6: Final answer
    x = 2,045.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.