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Finding the Fourth Proportional to 5,293.62, 7,940.44 and 2,820.95

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Solution

The fourth proportional to 5,293.62, 7,940.44 and 2,820.95 is: 4,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.62 : 7,940.44 = 2,820.95 : x
  2. Step 2: Convert to fraction form
    5,293.62/7,940.44 = 2,820.95/x
  3. Step 3: Cross multiply
    5,293.62x = 7,940.44 × 2,820.95
  4. Step 4: Simplify right side
    5,293.62x = 22,399,567.24
  5. Step 5: Solve for x
    x = 22,399,567.24/5,293.62
  6. Step 6: Final answer
    x = 4,231.42

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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.