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Finding the Fourth Proportional to 5,121.96, 7,679.70 and 1,834.44

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Solution

The fourth proportional to 5,121.96, 7,679.70 and 1,834.44 is: 2,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.96 : 7,679.70 = 1,834.44 : x
  2. Step 2: Convert to fraction form
    5,121.96/7,679.70 = 1,834.44/x
  3. Step 3: Cross multiply
    5,121.96x = 7,679.70 × 1,834.44
  4. Step 4: Simplify right side
    5,121.96x = 14,087,948.87
  5. Step 5: Solve for x
    x = 14,087,948.87/5,121.96
  6. Step 6: Final answer
    x = 2,750.50

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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.