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Finding the Fourth Proportional to 3,825, 5,278.42 and 2,231.08

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Solution

The fourth proportional to 3,825, 5,278.42 and 2,231.08 is: 3,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,278.42 = 2,231.08 : x
  2. Step 2: Convert to fraction form
    3,825/5,278.42 = 2,231.08/x
  3. Step 3: Cross multiply
    3,825x = 5,278.42 × 2,231.08
  4. Step 4: Simplify right side
    3,825x = 11,776,577.29
  5. Step 5: Solve for x
    x = 11,776,577.29/3,825
  6. Step 6: Final answer
    x = 3,078.84

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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.