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Finding the Fourth Proportional to 4,972.93, 7,456.96 and 2,893.66

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Solution

The fourth proportional to 4,972.93, 7,456.96 and 2,893.66 is: 4,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.93 : 7,456.96 = 2,893.66 : x
  2. Step 2: Convert to fraction form
    4,972.93/7,456.96 = 2,893.66/x
  3. Step 3: Cross multiply
    4,972.93x = 7,456.96 × 2,893.66
  4. Step 4: Simplify right side
    4,972.93x = 21,577,906.87
  5. Step 5: Solve for x
    x = 21,577,906.87/4,972.93
  6. Step 6: Final answer
    x = 4,339.07

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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.