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Finding the Fourth Proportional to 3,798.29, 5,696.53 and 1,822.70

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Solution

The fourth proportional to 3,798.29, 5,696.53 and 1,822.70 is: 2,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.29 : 5,696.53 = 1,822.70 : x
  2. Step 2: Convert to fraction form
    3,798.29/5,696.53 = 1,822.70/x
  3. Step 3: Cross multiply
    3,798.29x = 5,696.53 × 1,822.70
  4. Step 4: Simplify right side
    3,798.29x = 10,383,074.92
  5. Step 5: Solve for x
    x = 10,383,074.92/3,798.29
  6. Step 6: Final answer
    x = 2,733.62

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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.