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Finding the Fourth Proportional to 4,993.36, 7,489.98 and 1,295.26

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Solution

The fourth proportional to 4,993.36, 7,489.98 and 1,295.26 is: 1,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.36 : 7,489.98 = 1,295.26 : x
  2. Step 2: Convert to fraction form
    4,993.36/7,489.98 = 1,295.26/x
  3. Step 3: Cross multiply
    4,993.36x = 7,489.98 × 1,295.26
  4. Step 4: Simplify right side
    4,993.36x = 9,701,471.49
  5. Step 5: Solve for x
    x = 9,701,471.49/4,993.36
  6. Step 6: Final answer
    x = 1,942.87

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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.