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Finding the Fourth Proportional to 3,682.14, 5,543.94 and 3,246.19

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Solution

The fourth proportional to 3,682.14, 5,543.94 and 3,246.19 is: 4,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.14 : 5,543.94 = 3,246.19 : x
  2. Step 2: Convert to fraction form
    3,682.14/5,543.94 = 3,246.19/x
  3. Step 3: Cross multiply
    3,682.14x = 5,543.94 × 3,246.19
  4. Step 4: Simplify right side
    3,682.14x = 17,996,682.59
  5. Step 5: Solve for x
    x = 17,996,682.59/3,682.14
  6. Step 6: Final answer
    x = 4,887.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.