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Finding the Fourth Proportional to 5,989.87, 8,984.49 and 2,291.82

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Solution

The fourth proportional to 5,989.87, 8,984.49 and 2,291.82 is: 3,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.87 : 8,984.49 = 2,291.82 : x
  2. Step 2: Convert to fraction form
    5,989.87/8,984.49 = 2,291.82/x
  3. Step 3: Cross multiply
    5,989.87x = 8,984.49 × 2,291.82
  4. Step 4: Simplify right side
    5,989.87x = 20,590,791.59
  5. Step 5: Solve for x
    x = 20,590,791.59/5,989.87
  6. Step 6: Final answer
    x = 3,437.60

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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.