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Finding the Fourth Proportional to 3,672.18, 5,055.21 and 3,181.86

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Solution

The fourth proportional to 3,672.18, 5,055.21 and 3,181.86 is: 4,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.18 : 5,055.21 = 3,181.86 : x
  2. Step 2: Convert to fraction form
    3,672.18/5,055.21 = 3,181.86/x
  3. Step 3: Cross multiply
    3,672.18x = 5,055.21 × 3,181.86
  4. Step 4: Simplify right side
    3,672.18x = 16,084,970.49
  5. Step 5: Solve for x
    x = 16,084,970.49/3,672.18
  6. Step 6: Final answer
    x = 4,380.22

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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.