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Finding the Fourth Proportional to 3,759.02, 5,188.28 and 2,188.02

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Solution

The fourth proportional to 3,759.02, 5,188.28 and 2,188.02 is: 3,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.02 : 5,188.28 = 2,188.02 : x
  2. Step 2: Convert to fraction form
    3,759.02/5,188.28 = 2,188.02/x
  3. Step 3: Cross multiply
    3,759.02x = 5,188.28 × 2,188.02
  4. Step 4: Simplify right side
    3,759.02x = 11,352,049.47
  5. Step 5: Solve for x
    x = 11,352,049.47/3,759.02
  6. Step 6: Final answer
    x = 3,019.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.