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Finding the Fourth Proportional to 4,251.69, 5,874.12 and 3,628.80

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Solution

The fourth proportional to 4,251.69, 5,874.12 and 3,628.80 is: 5,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.69 : 5,874.12 = 3,628.80 : x
  2. Step 2: Convert to fraction form
    4,251.69/5,874.12 = 3,628.80/x
  3. Step 3: Cross multiply
    4,251.69x = 5,874.12 × 3,628.80
  4. Step 4: Simplify right side
    4,251.69x = 21,316,006.66
  5. Step 5: Solve for x
    x = 21,316,006.66/4,251.69
  6. Step 6: Final answer
    x = 5,013.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.