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Finding the Fourth Proportional to 4,758.69, 6,568.11 and 2,769.57

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Solution

The fourth proportional to 4,758.69, 6,568.11 and 2,769.57 is: 3,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.69 : 6,568.11 = 2,769.57 : x
  2. Step 2: Convert to fraction form
    4,758.69/6,568.11 = 2,769.57/x
  3. Step 3: Cross multiply
    4,758.69x = 6,568.11 × 2,769.57
  4. Step 4: Simplify right side
    4,758.69x = 18,190,840.41
  5. Step 5: Solve for x
    x = 18,190,840.41/4,758.69
  6. Step 6: Final answer
    x = 3,822.66

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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.