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Finding the Fourth Proportional to 4,094.92, 6,144.38 and 1,905.17

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Solution

The fourth proportional to 4,094.92, 6,144.38 and 1,905.17 is: 2,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.92 : 6,144.38 = 1,905.17 : x
  2. Step 2: Convert to fraction form
    4,094.92/6,144.38 = 1,905.17/x
  3. Step 3: Cross multiply
    4,094.92x = 6,144.38 × 1,905.17
  4. Step 4: Simplify right side
    4,094.92x = 11,706,078.92
  5. Step 5: Solve for x
    x = 11,706,078.92/4,094.92
  6. Step 6: Final answer
    x = 2,858.69

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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.