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Finding the Fourth Proportional to 3,836.44, 5,290.13 and 3,334.64

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Solution

The fourth proportional to 3,836.44, 5,290.13 and 3,334.64 is: 4,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.44 : 5,290.13 = 3,334.64 : x
  2. Step 2: Convert to fraction form
    3,836.44/5,290.13 = 3,334.64/x
  3. Step 3: Cross multiply
    3,836.44x = 5,290.13 × 3,334.64
  4. Step 4: Simplify right side
    3,836.44x = 17,640,662.43
  5. Step 5: Solve for x
    x = 17,640,662.43/3,836.44
  6. Step 6: Final answer
    x = 4,598.19

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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.