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Finding the Fourth Proportional to 5,173.63, 7,761.97 and 2,983.93

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Solution

The fourth proportional to 5,173.63, 7,761.97 and 2,983.93 is: 4,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.63 : 7,761.97 = 2,983.93 : x
  2. Step 2: Convert to fraction form
    5,173.63/7,761.97 = 2,983.93/x
  3. Step 3: Cross multiply
    5,173.63x = 7,761.97 × 2,983.93
  4. Step 4: Simplify right side
    5,173.63x = 23,161,136.33
  5. Step 5: Solve for x
    x = 23,161,136.33/5,173.63
  6. Step 6: Final answer
    x = 4,476.77

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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.