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Finding the Fourth Proportional to 4,194.16, 5,774.80 and 3,563.44

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Solution

The fourth proportional to 4,194.16, 5,774.80 and 3,563.44 is: 4,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.16 : 5,774.80 = 3,563.44 : x
  2. Step 2: Convert to fraction form
    4,194.16/5,774.80 = 3,563.44/x
  3. Step 3: Cross multiply
    4,194.16x = 5,774.80 × 3,563.44
  4. Step 4: Simplify right side
    4,194.16x = 20,578,153.31
  5. Step 5: Solve for x
    x = 20,578,153.31/4,194.16
  6. Step 6: Final answer
    x = 4,906.38

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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.