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Finding the Fourth Proportional to 5,984.64, 8,976.96 and 2,908.80

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Solution

The fourth proportional to 5,984.64, 8,976.96 and 2,908.80 is: 4,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.64 : 8,976.96 = 2,908.80 : x
  2. Step 2: Convert to fraction form
    5,984.64/8,976.96 = 2,908.80/x
  3. Step 3: Cross multiply
    5,984.64x = 8,976.96 × 2,908.80
  4. Step 4: Simplify right side
    5,984.64x = 26,112,181.25
  5. Step 5: Solve for x
    x = 26,112,181.25/5,984.64
  6. Step 6: Final answer
    x = 4,363.20

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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.