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Finding the Fourth Proportional to 6,028.48, 9,042.71 and 1,645.93

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Solution

The fourth proportional to 6,028.48, 9,042.71 and 1,645.93 is: 2,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.48 : 9,042.71 = 1,645.93 : x
  2. Step 2: Convert to fraction form
    6,028.48/9,042.71 = 1,645.93/x
  3. Step 3: Cross multiply
    6,028.48x = 9,042.71 × 1,645.93
  4. Step 4: Simplify right side
    6,028.48x = 14,883,659.44
  5. Step 5: Solve for x
    x = 14,883,659.44/6,028.48
  6. Step 6: Final answer
    x = 2,468.89

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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.