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Finding the Fourth Proportional to 3,109.92, 4,285.14 and 2,944.32

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Solution

The fourth proportional to 3,109.92, 4,285.14 and 2,944.32 is: 4,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.92 : 4,285.14 = 2,944.32 : x
  2. Step 2: Convert to fraction form
    3,109.92/4,285.14 = 2,944.32/x
  3. Step 3: Cross multiply
    3,109.92x = 4,285.14 × 2,944.32
  4. Step 4: Simplify right side
    3,109.92x = 12,616,823.40
  5. Step 5: Solve for x
    x = 12,616,823.40/3,109.92
  6. Step 6: Final answer
    x = 4,056.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.