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Finding the Fourth Proportional to 4,762.46, 6,565.82 and 3,269.82

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Solution

The fourth proportional to 4,762.46, 6,565.82 and 3,269.82 is: 4,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.46 : 6,565.82 = 3,269.82 : x
  2. Step 2: Convert to fraction form
    4,762.46/6,565.82 = 3,269.82/x
  3. Step 3: Cross multiply
    4,762.46x = 6,565.82 × 3,269.82
  4. Step 4: Simplify right side
    4,762.46x = 21,469,049.55
  5. Step 5: Solve for x
    x = 21,469,049.55/4,762.46
  6. Step 6: Final answer
    x = 4,507.97

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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.