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Finding the Fourth Proportional to 4,078.67, 5,628.17 and 3,241.40

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Solution

The fourth proportional to 4,078.67, 5,628.17 and 3,241.40 is: 4,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.67 : 5,628.17 = 3,241.40 : x
  2. Step 2: Convert to fraction form
    4,078.67/5,628.17 = 3,241.40/x
  3. Step 3: Cross multiply
    4,078.67x = 5,628.17 × 3,241.40
  4. Step 4: Simplify right side
    4,078.67x = 18,243,150.24
  5. Step 5: Solve for x
    x = 18,243,150.24/4,078.67
  6. Step 6: Final answer
    x = 4,472.82

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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.