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Finding the Fourth Proportional to 4,294.92, 6,446.60 and 2,105.24

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Solution

The fourth proportional to 4,294.92, 6,446.60 and 2,105.24 is: 3,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.92 : 6,446.60 = 2,105.24 : x
  2. Step 2: Convert to fraction form
    4,294.92/6,446.60 = 2,105.24/x
  3. Step 3: Cross multiply
    4,294.92x = 6,446.60 × 2,105.24
  4. Step 4: Simplify right side
    4,294.92x = 13,571,640.18
  5. Step 5: Solve for x
    x = 13,571,640.18/4,294.92
  6. Step 6: Final answer
    x = 3,159.93

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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.