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Finding the Fourth Proportional to 3,847.46, 5,766.63 and 1,765.71

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Solution

The fourth proportional to 3,847.46, 5,766.63 and 1,765.71 is: 2,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.46 : 5,766.63 = 1,765.71 : x
  2. Step 2: Convert to fraction form
    3,847.46/5,766.63 = 1,765.71/x
  3. Step 3: Cross multiply
    3,847.46x = 5,766.63 × 1,765.71
  4. Step 4: Simplify right side
    3,847.46x = 10,182,168.01
  5. Step 5: Solve for x
    x = 10,182,168.01/3,847.46
  6. Step 6: Final answer
    x = 2,646.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.