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Finding the Fourth Proportional to 4,726.97, 7,086.07 and 2,093.07

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Solution

The fourth proportional to 4,726.97, 7,086.07 and 2,093.07 is: 3,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.97 : 7,086.07 = 2,093.07 : x
  2. Step 2: Convert to fraction form
    4,726.97/7,086.07 = 2,093.07/x
  3. Step 3: Cross multiply
    4,726.97x = 7,086.07 × 2,093.07
  4. Step 4: Simplify right side
    4,726.97x = 14,831,608.73
  5. Step 5: Solve for x
    x = 14,831,608.73/4,726.97
  6. Step 6: Final answer
    x = 3,137.66

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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.