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Finding the Fourth Proportional to 5,056.96, 6,976.80 and 2,960.80

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Solution

The fourth proportional to 5,056.96, 6,976.80 and 2,960.80 is: 4,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.96 : 6,976.80 = 2,960.80 : x
  2. Step 2: Convert to fraction form
    5,056.96/6,976.80 = 2,960.80/x
  3. Step 3: Cross multiply
    5,056.96x = 6,976.80 × 2,960.80
  4. Step 4: Simplify right side
    5,056.96x = 20,656,909.44
  5. Step 5: Solve for x
    x = 20,656,909.44/5,056.96
  6. Step 6: Final answer
    x = 4,084.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.