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Finding the Fourth Proportional to 3,849.62, 5,313.04 and 2,278.22

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Solution

The fourth proportional to 3,849.62, 5,313.04 and 2,278.22 is: 3,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.62 : 5,313.04 = 2,278.22 : x
  2. Step 2: Convert to fraction form
    3,849.62/5,313.04 = 2,278.22/x
  3. Step 3: Cross multiply
    3,849.62x = 5,313.04 × 2,278.22
  4. Step 4: Simplify right side
    3,849.62x = 12,104,273.99
  5. Step 5: Solve for x
    x = 12,104,273.99/3,849.62
  6. Step 6: Final answer
    x = 3,144.28

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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.