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Finding the Fourth Proportional to 5,366.06, 8,049.09 and 1,902.50

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Solution

The fourth proportional to 5,366.06, 8,049.09 and 1,902.50 is: 2,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.06 : 8,049.09 = 1,902.50 : x
  2. Step 2: Convert to fraction form
    5,366.06/8,049.09 = 1,902.50/x
  3. Step 3: Cross multiply
    5,366.06x = 8,049.09 × 1,902.50
  4. Step 4: Simplify right side
    5,366.06x = 15,313,393.73
  5. Step 5: Solve for x
    x = 15,313,393.73/5,366.06
  6. Step 6: Final answer
    x = 2,853.75

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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.