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Finding the Fourth Proportional to 3,228.27, 4,842.81 and 1,584.87

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Solution

The fourth proportional to 3,228.27, 4,842.81 and 1,584.87 is: 2,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.27 : 4,842.81 = 1,584.87 : x
  2. Step 2: Convert to fraction form
    3,228.27/4,842.81 = 1,584.87/x
  3. Step 3: Cross multiply
    3,228.27x = 4,842.81 × 1,584.87
  4. Step 4: Simplify right side
    3,228.27x = 7,675,224.28
  5. Step 5: Solve for x
    x = 7,675,224.28/3,228.27
  6. Step 6: Final answer
    x = 2,377.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.