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Finding the Fourth Proportional to 4,600.82, 6,349.10 and 2,504.94

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Solution

The fourth proportional to 4,600.82, 6,349.10 and 2,504.94 is: 3,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.82 : 6,349.10 = 2,504.94 : x
  2. Step 2: Convert to fraction form
    4,600.82/6,349.10 = 2,504.94/x
  3. Step 3: Cross multiply
    4,600.82x = 6,349.10 × 2,504.94
  4. Step 4: Simplify right side
    4,600.82x = 15,904,102.03
  5. Step 5: Solve for x
    x = 15,904,102.03/4,600.82
  6. Step 6: Final answer
    x = 3,456.80

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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.