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Finding the Fourth Proportional to 5,694.56, 7,858.50 and 3,305.00

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Solution

The fourth proportional to 5,694.56, 7,858.50 and 3,305.00 is: 4,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.56 : 7,858.50 = 3,305.00 : x
  2. Step 2: Convert to fraction form
    5,694.56/7,858.50 = 3,305.00/x
  3. Step 3: Cross multiply
    5,694.56x = 7,858.50 × 3,305.00
  4. Step 4: Simplify right side
    5,694.56x = 25,972,314.84
  5. Step 5: Solve for x
    x = 25,972,314.84/5,694.56
  6. Step 6: Final answer
    x = 4,560.90

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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.