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Finding the Fourth Proportional to 3,798.24, 5,696 and 1,947.52

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Solution

The fourth proportional to 3,798.24, 5,696 and 1,947.52 is: 2,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.24 : 5,696 = 1,947.52 : x
  2. Step 2: Convert to fraction form
    3,798.24/5,696 = 1,947.52/x
  3. Step 3: Cross multiply
    3,798.24x = 5,696 × 1,947.52
  4. Step 4: Simplify right side
    3,798.24x = 11,093,073.92
  5. Step 5: Solve for x
    x = 11,093,073.92/3,798.24
  6. Step 6: Final answer
    x = 2,920.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.