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Finding the Fourth Proportional to 5,179.92, 7,772.16 and 2,104.08

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Solution

The fourth proportional to 5,179.92, 7,772.16 and 2,104.08 is: 3,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.92 : 7,772.16 = 2,104.08 : x
  2. Step 2: Convert to fraction form
    5,179.92/7,772.16 = 2,104.08/x
  3. Step 3: Cross multiply
    5,179.92x = 7,772.16 × 2,104.08
  4. Step 4: Simplify right side
    5,179.92x = 16,353,246.41
  5. Step 5: Solve for x
    x = 16,353,246.41/5,179.92
  6. Step 6: Final answer
    x = 3,157.05

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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.