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Finding the Fourth Proportional to 4,020.25, 6,029.97 and 1,828.39

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Solution

The fourth proportional to 4,020.25, 6,029.97 and 1,828.39 is: 2,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.25 : 6,029.97 = 1,828.39 : x
  2. Step 2: Convert to fraction form
    4,020.25/6,029.97 = 1,828.39/x
  3. Step 3: Cross multiply
    4,020.25x = 6,029.97 × 1,828.39
  4. Step 4: Simplify right side
    4,020.25x = 11,025,136.85
  5. Step 5: Solve for x
    x = 11,025,136.85/4,020.25
  6. Step 6: Final answer
    x = 2,742.40

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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.