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Finding the Fourth Proportional to 5,983.14, 8,968.93 and 3,351.93

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Solution

The fourth proportional to 5,983.14, 8,968.93 and 3,351.93 is: 5,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.14 : 8,968.93 = 3,351.93 : x
  2. Step 2: Convert to fraction form
    5,983.14/8,968.93 = 3,351.93/x
  3. Step 3: Cross multiply
    5,983.14x = 8,968.93 × 3,351.93
  4. Step 4: Simplify right side
    5,983.14x = 30,063,183.52
  5. Step 5: Solve for x
    x = 30,063,183.52/5,983.14
  6. Step 6: Final answer
    x = 5,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.