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Finding the Fourth Proportional to 4,760.31, 6,567.63 and 2,769.24

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Solution

The fourth proportional to 4,760.31, 6,567.63 and 2,769.24 is: 3,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.31 : 6,567.63 = 2,769.24 : x
  2. Step 2: Convert to fraction form
    4,760.31/6,567.63 = 2,769.24/x
  3. Step 3: Cross multiply
    4,760.31x = 6,567.63 × 2,769.24
  4. Step 4: Simplify right side
    4,760.31x = 18,187,343.70
  5. Step 5: Solve for x
    x = 18,187,343.70/4,760.31
  6. Step 6: Final answer
    x = 3,820.62

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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.