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Finding the Fourth Proportional to 5,984.35, 8,976.42 and 1,601.78

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Solution

The fourth proportional to 5,984.35, 8,976.42 and 1,601.78 is: 2,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.35 : 8,976.42 = 1,601.78 : x
  2. Step 2: Convert to fraction form
    5,984.35/8,976.42 = 1,601.78/x
  3. Step 3: Cross multiply
    5,984.35x = 8,976.42 × 1,601.78
  4. Step 4: Simplify right side
    5,984.35x = 14,378,205.15
  5. Step 5: Solve for x
    x = 14,378,205.15/5,984.35
  6. Step 6: Final answer
    x = 2,402.64

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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.