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Finding the Fourth Proportional to 5,180.97, 7,149.78 and 2,823.11

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Solution

The fourth proportional to 5,180.97, 7,149.78 and 2,823.11 is: 3,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.97 : 7,149.78 = 2,823.11 : x
  2. Step 2: Convert to fraction form
    5,180.97/7,149.78 = 2,823.11/x
  3. Step 3: Cross multiply
    5,180.97x = 7,149.78 × 2,823.11
  4. Step 4: Simplify right side
    5,180.97x = 20,184,615.42
  5. Step 5: Solve for x
    x = 20,184,615.42/5,180.97
  6. Step 6: Final answer
    x = 3,895.91

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1.5x scale

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.