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Finding the Fourth Proportional to 5,267.46, 7,903.50 and 2,496.09

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Solution

The fourth proportional to 5,267.46, 7,903.50 and 2,496.09 is: 3,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.46 : 7,903.50 = 2,496.09 : x
  2. Step 2: Convert to fraction form
    5,267.46/7,903.50 = 2,496.09/x
  3. Step 3: Cross multiply
    5,267.46x = 7,903.50 × 2,496.09
  4. Step 4: Simplify right side
    5,267.46x = 19,727,847.32
  5. Step 5: Solve for x
    x = 19,727,847.32/5,267.46
  6. Step 6: Final answer
    x = 3,745.23

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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.