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Finding the Fourth Proportional to 4,162.68, 5,740.74 and 2,763

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Solution

The fourth proportional to 4,162.68, 5,740.74 and 2,763 is: 3,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.68 : 5,740.74 = 2,763 : x
  2. Step 2: Convert to fraction form
    4,162.68/5,740.74 = 2,763/x
  3. Step 3: Cross multiply
    4,162.68x = 5,740.74 × 2,763
  4. Step 4: Simplify right side
    4,162.68x = 15,861,664.62
  5. Step 5: Solve for x
    x = 15,861,664.62/4,162.68
  6. Step 6: Final answer
    x = 3,810.45

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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.