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Finding the Fourth Proportional to 4,600.77, 6,349.62 and 2,611.96

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Solution

The fourth proportional to 4,600.77, 6,349.62 and 2,611.96 is: 3,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.77 : 6,349.62 = 2,611.96 : x
  2. Step 2: Convert to fraction form
    4,600.77/6,349.62 = 2,611.96/x
  3. Step 3: Cross multiply
    4,600.77x = 6,349.62 × 2,611.96
  4. Step 4: Simplify right side
    4,600.77x = 16,584,947.38
  5. Step 5: Solve for x
    x = 16,584,947.38/4,600.77
  6. Step 6: Final answer
    x = 3,604.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.