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Finding the Fourth Proportional to 4,137.16, 6,204.41 and 1,363.21

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Solution

The fourth proportional to 4,137.16, 6,204.41 and 1,363.21 is: 2,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.16 : 6,204.41 = 1,363.21 : x
  2. Step 2: Convert to fraction form
    4,137.16/6,204.41 = 1,363.21/x
  3. Step 3: Cross multiply
    4,137.16x = 6,204.41 × 1,363.21
  4. Step 4: Simplify right side
    4,137.16x = 8,457,913.76
  5. Step 5: Solve for x
    x = 8,457,913.76/4,137.16
  6. Step 6: Final answer
    x = 2,044.38

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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.