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Finding the Fourth Proportional to 4,078.92, 6,116.68 and 1,738.32

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Solution

The fourth proportional to 4,078.92, 6,116.68 and 1,738.32 is: 2,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.92 : 6,116.68 = 1,738.32 : x
  2. Step 2: Convert to fraction form
    4,078.92/6,116.68 = 1,738.32/x
  3. Step 3: Cross multiply
    4,078.92x = 6,116.68 × 1,738.32
  4. Step 4: Simplify right side
    4,078.92x = 10,632,747.18
  5. Step 5: Solve for x
    x = 10,632,747.18/4,078.92
  6. Step 6: Final answer
    x = 2,606.76

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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.