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Finding the Fourth Proportional to 3,759.47, 5,189.10 and 2,187.86

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Solution

The fourth proportional to 3,759.47, 5,189.10 and 2,187.86 is: 3,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.47 : 5,189.10 = 2,187.86 : x
  2. Step 2: Convert to fraction form
    3,759.47/5,189.10 = 2,187.86/x
  3. Step 3: Cross multiply
    3,759.47x = 5,189.10 × 2,187.86
  4. Step 4: Simplify right side
    3,759.47x = 11,353,024.33
  5. Step 5: Solve for x
    x = 11,353,024.33/3,759.47
  6. Step 6: Final answer
    x = 3,019.85

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