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Finding the Fourth Proportional to 4,600.88, 6,349.16 and 2,505

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Solution

The fourth proportional to 4,600.88, 6,349.16 and 2,505 is: 3,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.88 : 6,349.16 = 2,505 : x
  2. Step 2: Convert to fraction form
    4,600.88/6,349.16 = 2,505/x
  3. Step 3: Cross multiply
    4,600.88x = 6,349.16 × 2,505
  4. Step 4: Simplify right side
    4,600.88x = 15,904,645.80
  5. Step 5: Solve for x
    x = 15,904,645.80/4,600.88
  6. Step 6: Final answer
    x = 3,456.87

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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.