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Finding the Fourth Proportional to 5,049.84, 6,968.14 and 2,811.54

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Solution

The fourth proportional to 5,049.84, 6,968.14 and 2,811.54 is: 3,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.84 : 6,968.14 = 2,811.54 : x
  2. Step 2: Convert to fraction form
    5,049.84/6,968.14 = 2,811.54/x
  3. Step 3: Cross multiply
    5,049.84x = 6,968.14 × 2,811.54
  4. Step 4: Simplify right side
    5,049.84x = 19,591,204.34
  5. Step 5: Solve for x
    x = 19,591,204.34/5,049.84
  6. Step 6: Final answer
    x = 3,879.57

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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.