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Finding the Fourth Proportional to 5,694.32, 7,855.44 and 3,304.28

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Solution

The fourth proportional to 5,694.32, 7,855.44 and 3,304.28 is: 4,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.32 : 7,855.44 = 3,304.28 : x
  2. Step 2: Convert to fraction form
    5,694.32/7,855.44 = 3,304.28/x
  3. Step 3: Cross multiply
    5,694.32x = 7,855.44 × 3,304.28
  4. Step 4: Simplify right side
    5,694.32x = 25,956,573.28
  5. Step 5: Solve for x
    x = 25,956,573.28/5,694.32
  6. Step 6: Final answer
    x = 4,558.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.