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Finding the Fourth Proportional to 3,759.39, 5,188.59 and 2,188.41

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Solution

The fourth proportional to 3,759.39, 5,188.59 and 2,188.41 is: 3,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.39 : 5,188.59 = 2,188.41 : x
  2. Step 2: Convert to fraction form
    3,759.39/5,188.59 = 2,188.41/x
  3. Step 3: Cross multiply
    3,759.39x = 5,188.59 × 2,188.41
  4. Step 4: Simplify right side
    3,759.39x = 11,354,762.24
  5. Step 5: Solve for x
    x = 11,354,762.24/3,759.39
  6. Step 6: Final answer
    x = 3,020.37

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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.