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Finding the Fourth Proportional to 5,970.56, 8,959.73 and 2,272.82

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Solution

The fourth proportional to 5,970.56, 8,959.73 and 2,272.82 is: 3,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.56 : 8,959.73 = 2,272.82 : x
  2. Step 2: Convert to fraction form
    5,970.56/8,959.73 = 2,272.82/x
  3. Step 3: Cross multiply
    5,970.56x = 8,959.73 × 2,272.82
  4. Step 4: Simplify right side
    5,970.56x = 20,363,853.54
  5. Step 5: Solve for x
    x = 20,363,853.54/5,970.56
  6. Step 6: Final answer
    x = 3,410.71

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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.