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Finding the Fourth Proportional to 5,229.84, 7,845.93 and 1,767

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Solution

The fourth proportional to 5,229.84, 7,845.93 and 1,767 is: 2,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.84 : 7,845.93 = 1,767 : x
  2. Step 2: Convert to fraction form
    5,229.84/7,845.93 = 1,767/x
  3. Step 3: Cross multiply
    5,229.84x = 7,845.93 × 1,767
  4. Step 4: Simplify right side
    5,229.84x = 13,863,758.31
  5. Step 5: Solve for x
    x = 13,863,758.31/5,229.84
  6. Step 6: Final answer
    x = 2,650.90

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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.