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Finding the Fourth Proportional to 3,685.86, 5,534.33 and 3,171.46

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Solution

The fourth proportional to 3,685.86, 5,534.33 and 3,171.46 is: 4,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.86 : 5,534.33 = 3,171.46 : x
  2. Step 2: Convert to fraction form
    3,685.86/5,534.33 = 3,171.46/x
  3. Step 3: Cross multiply
    3,685.86x = 5,534.33 × 3,171.46
  4. Step 4: Simplify right side
    3,685.86x = 17,551,906.22
  5. Step 5: Solve for x
    x = 17,551,906.22/3,685.86
  6. Step 6: Final answer
    x = 4,761.96

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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.