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Finding the Fourth Proportional to 3,228.57, 4,842.86 and 2,256.57

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Solution

The fourth proportional to 3,228.57, 4,842.86 and 2,256.57 is: 3,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.57 : 4,842.86 = 2,256.57 : x
  2. Step 2: Convert to fraction form
    3,228.57/4,842.86 = 2,256.57/x
  3. Step 3: Cross multiply
    3,228.57x = 4,842.86 × 2,256.57
  4. Step 4: Simplify right side
    3,228.57x = 10,928,241.31
  5. Step 5: Solve for x
    x = 10,928,241.31/3,228.57
  6. Step 6: Final answer
    x = 3,384.86

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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.