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Finding the Fourth Proportional to 5,976.93, 8,966.43 and 2,279.49

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Solution

The fourth proportional to 5,976.93, 8,966.43 and 2,279.49 is: 3,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.93 : 8,966.43 = 2,279.49 : x
  2. Step 2: Convert to fraction form
    5,976.93/8,966.43 = 2,279.49/x
  3. Step 3: Cross multiply
    5,976.93x = 8,966.43 × 2,279.49
  4. Step 4: Simplify right side
    5,976.93x = 20,438,887.52
  5. Step 5: Solve for x
    x = 20,438,887.52/5,976.93
  6. Step 6: Final answer
    x = 3,419.63

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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.