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Finding the Fourth Proportional to 5,194, 7,791.76 and 1,682.84

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Solution

The fourth proportional to 5,194, 7,791.76 and 1,682.84 is: 2,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194 : 7,791.76 = 1,682.84 : x
  2. Step 2: Convert to fraction form
    5,194/7,791.76 = 1,682.84/x
  3. Step 3: Cross multiply
    5,194x = 7,791.76 × 1,682.84
  4. Step 4: Simplify right side
    5,194x = 13,112,285.40
  5. Step 5: Solve for x
    x = 13,112,285.40/5,194
  6. Step 6: Final answer
    x = 2,524.51

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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.