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Finding the Fourth Proportional to 5,238.45, 7,859.19 and 2,772.96

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Solution

The fourth proportional to 5,238.45, 7,859.19 and 2,772.96 is: 4,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.45 : 7,859.19 = 2,772.96 : x
  2. Step 2: Convert to fraction form
    5,238.45/7,859.19 = 2,772.96/x
  3. Step 3: Cross multiply
    5,238.45x = 7,859.19 × 2,772.96
  4. Step 4: Simplify right side
    5,238.45x = 21,793,219.50
  5. Step 5: Solve for x
    x = 21,793,219.50/5,238.45
  6. Step 6: Final answer
    x = 4,160.24

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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.