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Finding the Fourth Proportional to 3,200.57, 4,796.75 and 2,468.61

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Solution

The fourth proportional to 3,200.57, 4,796.75 and 2,468.61 is: 3,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.57 : 4,796.75 = 2,468.61 : x
  2. Step 2: Convert to fraction form
    3,200.57/4,796.75 = 2,468.61/x
  3. Step 3: Cross multiply
    3,200.57x = 4,796.75 × 2,468.61
  4. Step 4: Simplify right side
    3,200.57x = 11,841,311.19
  5. Step 5: Solve for x
    x = 11,841,311.19/3,200.57
  6. Step 6: Final answer
    x = 3,699.75

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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.