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Finding the Fourth Proportional to 3,680.69, 5,518.78 and 1,486.86

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Solution

The fourth proportional to 3,680.69, 5,518.78 and 1,486.86 is: 2,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.69 : 5,518.78 = 1,486.86 : x
  2. Step 2: Convert to fraction form
    3,680.69/5,518.78 = 1,486.86/x
  3. Step 3: Cross multiply
    3,680.69x = 5,518.78 × 1,486.86
  4. Step 4: Simplify right side
    3,680.69x = 8,205,637.18
  5. Step 5: Solve for x
    x = 8,205,637.18/3,680.69
  6. Step 6: Final answer
    x = 2,229.37

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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.