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Finding the Fourth Proportional to 3,759.95, 5,189.37 and 2,188.96

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Solution

The fourth proportional to 3,759.95, 5,189.37 and 2,188.96 is: 3,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.95 : 5,189.37 = 2,188.96 : x
  2. Step 2: Convert to fraction form
    3,759.95/5,189.37 = 2,188.96/x
  3. Step 3: Cross multiply
    3,759.95x = 5,189.37 × 2,188.96
  4. Step 4: Simplify right side
    3,759.95x = 11,359,302.17
  5. Step 5: Solve for x
    x = 11,359,302.17/3,759.95
  6. Step 6: Final answer
    x = 3,021.13

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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.