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Finding the Fourth Proportional to 6,028.10, 9,042.17 and 1,645.68

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Solution

The fourth proportional to 6,028.10, 9,042.17 and 1,645.68 is: 2,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.10 : 9,042.17 = 1,645.68 : x
  2. Step 2: Convert to fraction form
    6,028.10/9,042.17 = 1,645.68/x
  3. Step 3: Cross multiply
    6,028.10x = 9,042.17 × 1,645.68
  4. Step 4: Simplify right side
    6,028.10x = 14,880,544.01
  5. Step 5: Solve for x
    x = 14,880,544.01/6,028.10
  6. Step 6: Final answer
    x = 2,468.53

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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.