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Finding the Fourth Proportional to 5,975.30, 8,959.62 and 3,201.14

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Solution

The fourth proportional to 5,975.30, 8,959.62 and 3,201.14 is: 4,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.30 : 8,959.62 = 3,201.14 : x
  2. Step 2: Convert to fraction form
    5,975.30/8,959.62 = 3,201.14/x
  3. Step 3: Cross multiply
    5,975.30x = 8,959.62 × 3,201.14
  4. Step 4: Simplify right side
    5,975.30x = 28,680,997.97
  5. Step 5: Solve for x
    x = 28,680,997.97/5,975.30
  6. Step 6: Final answer
    x = 4,799.93

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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.