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Finding the Fourth Proportional to 5,993.84, 8,984.95 and 2,293.22

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Solution

The fourth proportional to 5,993.84, 8,984.95 and 2,293.22 is: 3,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.84 : 8,984.95 = 2,293.22 : x
  2. Step 2: Convert to fraction form
    5,993.84/8,984.95 = 2,293.22/x
  3. Step 3: Cross multiply
    5,993.84x = 8,984.95 × 2,293.22
  4. Step 4: Simplify right side
    5,993.84x = 20,604,467.04
  5. Step 5: Solve for x
    x = 20,604,467.04/5,993.84
  6. Step 6: Final answer
    x = 3,437.61

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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.