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Finding the Fourth Proportional to 4,984.87, 7,474.86 and 2,847.47

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Solution

The fourth proportional to 4,984.87, 7,474.86 and 2,847.47 is: 4,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.87 : 7,474.86 = 2,847.47 : x
  2. Step 2: Convert to fraction form
    4,984.87/7,474.86 = 2,847.47/x
  3. Step 3: Cross multiply
    4,984.87x = 7,474.86 × 2,847.47
  4. Step 4: Simplify right side
    4,984.87x = 21,284,439.60
  5. Step 5: Solve for x
    x = 21,284,439.60/4,984.87
  6. Step 6: Final answer
    x = 4,269.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.