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Finding the Fourth Proportional to 5,144.99, 7,099.74 and 2,906.96

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Solution

The fourth proportional to 5,144.99, 7,099.74 and 2,906.96 is: 4,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.99 : 7,099.74 = 2,906.96 : x
  2. Step 2: Convert to fraction form
    5,144.99/7,099.74 = 2,906.96/x
  3. Step 3: Cross multiply
    5,144.99x = 7,099.74 × 2,906.96
  4. Step 4: Simplify right side
    5,144.99x = 20,638,660.19
  5. Step 5: Solve for x
    x = 20,638,660.19/5,144.99
  6. Step 6: Final answer
    x = 4,011.41

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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.