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Finding the Fourth Proportional to 4,471.80, 6,168.06 and 3,684.60

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Solution

The fourth proportional to 4,471.80, 6,168.06 and 3,684.60 is: 5,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.80 : 6,168.06 = 3,684.60 : x
  2. Step 2: Convert to fraction form
    4,471.80/6,168.06 = 3,684.60/x
  3. Step 3: Cross multiply
    4,471.80x = 6,168.06 × 3,684.60
  4. Step 4: Simplify right side
    4,471.80x = 22,726,833.88
  5. Step 5: Solve for x
    x = 22,726,833.88/4,471.80
  6. Step 6: Final answer
    x = 5,082.26

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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.