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Finding the Fourth Proportional to 3,796.69, 5,239.88 and 2,224.75

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Solution

The fourth proportional to 3,796.69, 5,239.88 and 2,224.75 is: 3,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.69 : 5,239.88 = 2,224.75 : x
  2. Step 2: Convert to fraction form
    3,796.69/5,239.88 = 2,224.75/x
  3. Step 3: Cross multiply
    3,796.69x = 5,239.88 × 2,224.75
  4. Step 4: Simplify right side
    3,796.69x = 11,657,423.03
  5. Step 5: Solve for x
    x = 11,657,423.03/3,796.69
  6. Step 6: Final answer
    x = 3,070.42

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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.