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Finding the Fourth Proportional to 5,664.96, 7,815.84 and 3,180.48

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Solution

The fourth proportional to 5,664.96, 7,815.84 and 3,180.48 is: 4,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.96 : 7,815.84 = 3,180.48 : x
  2. Step 2: Convert to fraction form
    5,664.96/7,815.84 = 3,180.48/x
  3. Step 3: Cross multiply
    5,664.96x = 7,815.84 × 3,180.48
  4. Step 4: Simplify right side
    5,664.96x = 24,858,122.80
  5. Step 5: Solve for x
    x = 24,858,122.80/5,664.96
  6. Step 6: Final answer
    x = 4,388.05

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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.