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Finding the Fourth Proportional to 4,208.56, 6,305.86 and 2,560.12

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Solution

The fourth proportional to 4,208.56, 6,305.86 and 2,560.12 is: 3,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.56 : 6,305.86 = 2,560.12 : x
  2. Step 2: Convert to fraction form
    4,208.56/6,305.86 = 2,560.12/x
  3. Step 3: Cross multiply
    4,208.56x = 6,305.86 × 2,560.12
  4. Step 4: Simplify right side
    4,208.56x = 16,143,758.30
  5. Step 5: Solve for x
    x = 16,143,758.30/4,208.56
  6. Step 6: Final answer
    x = 3,835.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.