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Finding the Fourth Proportional to 5,180.76, 7,772.70 and 2,180.22

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Solution

The fourth proportional to 5,180.76, 7,772.70 and 2,180.22 is: 3,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.76 : 7,772.70 = 2,180.22 : x
  2. Step 2: Convert to fraction form
    5,180.76/7,772.70 = 2,180.22/x
  3. Step 3: Cross multiply
    5,180.76x = 7,772.70 × 2,180.22
  4. Step 4: Simplify right side
    5,180.76x = 16,946,195.99
  5. Step 5: Solve for x
    x = 16,946,195.99/5,180.76
  6. Step 6: Final answer
    x = 3,270.99

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1.5x scale

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.