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Finding the Fourth Proportional to 4,163.54, 5,744.74 and 2,484.62

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Solution

The fourth proportional to 4,163.54, 5,744.74 and 2,484.62 is: 3,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.54 : 5,744.74 = 2,484.62 : x
  2. Step 2: Convert to fraction form
    4,163.54/5,744.74 = 2,484.62/x
  3. Step 3: Cross multiply
    4,163.54x = 5,744.74 × 2,484.62
  4. Step 4: Simplify right side
    4,163.54x = 14,273,495.90
  5. Step 5: Solve for x
    x = 14,273,495.90/4,163.54
  6. Step 6: Final answer
    x = 3,428.21

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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.