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Finding the Fourth Proportional to 6,028.33, 9,042.41 and 1,645.78

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Solution

The fourth proportional to 6,028.33, 9,042.41 and 1,645.78 is: 2,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.33 : 9,042.41 = 1,645.78 : x
  2. Step 2: Convert to fraction form
    6,028.33/9,042.41 = 1,645.78/x
  3. Step 3: Cross multiply
    6,028.33x = 9,042.41 × 1,645.78
  4. Step 4: Simplify right side
    6,028.33x = 14,881,789.78
  5. Step 5: Solve for x
    x = 14,881,789.78/6,028.33
  6. Step 6: Final answer
    x = 2,468.64

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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.