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Finding the Fourth Proportional to 3,378.62, 5,068.37 and 1,270.94

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Solution

The fourth proportional to 3,378.62, 5,068.37 and 1,270.94 is: 1,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.62 : 5,068.37 = 1,270.94 : x
  2. Step 2: Convert to fraction form
    3,378.62/5,068.37 = 1,270.94/x
  3. Step 3: Cross multiply
    3,378.62x = 5,068.37 × 1,270.94
  4. Step 4: Simplify right side
    3,378.62x = 6,441,572.00
  5. Step 5: Solve for x
    x = 6,441,572.00/3,378.62
  6. Step 6: Final answer
    x = 1,906.57

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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.