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Finding the Fourth Proportional to 4,760.14, 6,568.34 and 2,769.16

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Solution

The fourth proportional to 4,760.14, 6,568.34 and 2,769.16 is: 3,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.14 : 6,568.34 = 2,769.16 : x
  2. Step 2: Convert to fraction form
    4,760.14/6,568.34 = 2,769.16/x
  3. Step 3: Cross multiply
    4,760.14x = 6,568.34 × 2,769.16
  4. Step 4: Simplify right side
    4,760.14x = 18,188,784.39
  5. Step 5: Solve for x
    x = 18,188,784.39/4,760.14
  6. Step 6: Final answer
    x = 3,821.06

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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.