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Finding the Fourth Proportional to 3,777, 5,213.52 and 2,379.78

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Solution

The fourth proportional to 3,777, 5,213.52 and 2,379.78 is: 3,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 5,213.52 = 2,379.78 : x
  2. Step 2: Convert to fraction form
    3,777/5,213.52 = 2,379.78/x
  3. Step 3: Cross multiply
    3,777x = 5,213.52 × 2,379.78
  4. Step 4: Simplify right side
    3,777x = 12,407,030.63
  5. Step 5: Solve for x
    x = 12,407,030.63/3,777
  6. Step 6: Final answer
    x = 3,284.89

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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.