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Finding the Fourth Proportional to 4,086.68, 6,133.87 and 2,140.25

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Solution

The fourth proportional to 4,086.68, 6,133.87 and 2,140.25 is: 3,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.68 : 6,133.87 = 2,140.25 : x
  2. Step 2: Convert to fraction form
    4,086.68/6,133.87 = 2,140.25/x
  3. Step 3: Cross multiply
    4,086.68x = 6,133.87 × 2,140.25
  4. Step 4: Simplify right side
    4,086.68x = 13,128,015.27
  5. Step 5: Solve for x
    x = 13,128,015.27/4,086.68
  6. Step 6: Final answer
    x = 3,212.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.