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Finding the Fourth Proportional to 3,825.33, 5,736.67 and 1,484.78

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Solution

The fourth proportional to 3,825.33, 5,736.67 and 1,484.78 is: 2,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.33 : 5,736.67 = 1,484.78 : x
  2. Step 2: Convert to fraction form
    3,825.33/5,736.67 = 1,484.78/x
  3. Step 3: Cross multiply
    3,825.33x = 5,736.67 × 1,484.78
  4. Step 4: Simplify right side
    3,825.33x = 8,517,701.11
  5. Step 5: Solve for x
    x = 8,517,701.11/3,825.33
  6. Step 6: Final answer
    x = 2,226.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.