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Finding the Fourth Proportional to 4,228.28, 6,342.42 and 4,020.92

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Solution

The fourth proportional to 4,228.28, 6,342.42 and 4,020.92 is: 6,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.28 : 6,342.42 = 4,020.92 : x
  2. Step 2: Convert to fraction form
    4,228.28/6,342.42 = 4,020.92/x
  3. Step 3: Cross multiply
    4,228.28x = 6,342.42 × 4,020.92
  4. Step 4: Simplify right side
    4,228.28x = 25,502,363.43
  5. Step 5: Solve for x
    x = 25,502,363.43/4,228.28
  6. Step 6: Final answer
    x = 6,031.38

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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.