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Finding the Fourth Proportional to 5,694.28, 7,858.62 and 3,305.14

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Solution

The fourth proportional to 5,694.28, 7,858.62 and 3,305.14 is: 4,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.28 : 7,858.62 = 3,305.14 : x
  2. Step 2: Convert to fraction form
    5,694.28/7,858.62 = 3,305.14/x
  3. Step 3: Cross multiply
    5,694.28x = 7,858.62 × 3,305.14
  4. Step 4: Simplify right side
    5,694.28x = 25,973,839.31
  5. Step 5: Solve for x
    x = 25,973,839.31/5,694.28
  6. Step 6: Final answer
    x = 4,561.39

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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.