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Finding the Fourth Proportional to 3,770.84, 5,203.67 and 2,092.22

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Solution

The fourth proportional to 3,770.84, 5,203.67 and 2,092.22 is: 2,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.84 : 5,203.67 = 2,092.22 : x
  2. Step 2: Convert to fraction form
    3,770.84/5,203.67 = 2,092.22/x
  3. Step 3: Cross multiply
    3,770.84x = 5,203.67 × 2,092.22
  4. Step 4: Simplify right side
    3,770.84x = 10,887,250.22
  5. Step 5: Solve for x
    x = 10,887,250.22/3,770.84
  6. Step 6: Final answer
    x = 2,887.22

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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.