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Finding the Fourth Proportional to 5,778.96, 8,669.24 and 2,080.50

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Solution

The fourth proportional to 5,778.96, 8,669.24 and 2,080.50 is: 3,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.96 : 8,669.24 = 2,080.50 : x
  2. Step 2: Convert to fraction form
    5,778.96/8,669.24 = 2,080.50/x
  3. Step 3: Cross multiply
    5,778.96x = 8,669.24 × 2,080.50
  4. Step 4: Simplify right side
    5,778.96x = 18,036,353.82
  5. Step 5: Solve for x
    x = 18,036,353.82/5,778.96
  6. Step 6: Final answer
    x = 3,121.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.