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Finding the Fourth Proportional to 3,917.49, 5,877.18 and 1,144.25

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Solution

The fourth proportional to 3,917.49, 5,877.18 and 1,144.25 is: 1,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.49 : 5,877.18 = 1,144.25 : x
  2. Step 2: Convert to fraction form
    3,917.49/5,877.18 = 1,144.25/x
  3. Step 3: Cross multiply
    3,917.49x = 5,877.18 × 1,144.25
  4. Step 4: Simplify right side
    3,917.49x = 6,724,975.62
  5. Step 5: Solve for x
    x = 6,724,975.62/3,917.49
  6. Step 6: Final answer
    x = 1,716.65

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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.