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Finding the Fourth Proportional to 4,772.93, 7,159.23 and 1,961.66

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Solution

The fourth proportional to 4,772.93, 7,159.23 and 1,961.66 is: 2,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.93 : 7,159.23 = 1,961.66 : x
  2. Step 2: Convert to fraction form
    4,772.93/7,159.23 = 1,961.66/x
  3. Step 3: Cross multiply
    4,772.93x = 7,159.23 × 1,961.66
  4. Step 4: Simplify right side
    4,772.93x = 14,043,993.02
  5. Step 5: Solve for x
    x = 14,043,993.02/4,772.93
  6. Step 6: Final answer
    x = 2,942.43

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Why These Related Problems?

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