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Finding the Fourth Proportional to 5,198.99, 7,172.99 and 3,074.76

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Solution

The fourth proportional to 5,198.99, 7,172.99 and 3,074.76 is: 4,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.99 : 7,172.99 = 3,074.76 : x
  2. Step 2: Convert to fraction form
    5,198.99/7,172.99 = 3,074.76/x
  3. Step 3: Cross multiply
    5,198.99x = 7,172.99 × 3,074.76
  4. Step 4: Simplify right side
    5,198.99x = 22,055,218.89
  5. Step 5: Solve for x
    x = 22,055,218.89/5,198.99
  6. Step 6: Final answer
    x = 4,242.22

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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.