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Finding the Fourth Proportional to 4,228.00, 6,343.04 and 2,147.31

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Solution

The fourth proportional to 4,228.00, 6,343.04 and 2,147.31 is: 3,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.00 : 6,343.04 = 2,147.31 : x
  2. Step 2: Convert to fraction form
    4,228.00/6,343.04 = 2,147.31/x
  3. Step 3: Cross multiply
    4,228.00x = 6,343.04 × 2,147.31
  4. Step 4: Simplify right side
    4,228.00x = 13,620,478.59
  5. Step 5: Solve for x
    x = 13,620,478.59/4,228.00
  6. Step 6: Final answer
    x = 3,221.50

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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.