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Finding the Fourth Proportional to 5,984.49, 8,976.74 and 2,863.76

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Solution

The fourth proportional to 5,984.49, 8,976.74 and 2,863.76 is: 4,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.49 : 8,976.74 = 2,863.76 : x
  2. Step 2: Convert to fraction form
    5,984.49/8,976.74 = 2,863.76/x
  3. Step 3: Cross multiply
    5,984.49x = 8,976.74 × 2,863.76
  4. Step 4: Simplify right side
    5,984.49x = 25,707,214.62
  5. Step 5: Solve for x
    x = 25,707,214.62/5,984.49
  6. Step 6: Final answer
    x = 4,295.64

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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.