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Finding the Fourth Proportional to 3,797.58, 5,696.38 and 1,947.67

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Solution

The fourth proportional to 3,797.58, 5,696.38 and 1,947.67 is: 2,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.58 : 5,696.38 = 1,947.67 : x
  2. Step 2: Convert to fraction form
    3,797.58/5,696.38 = 1,947.67/x
  3. Step 3: Cross multiply
    3,797.58x = 5,696.38 × 1,947.67
  4. Step 4: Simplify right side
    3,797.58x = 11,094,661.69
  5. Step 5: Solve for x
    x = 11,094,661.69/3,797.58
  6. Step 6: Final answer
    x = 2,921.51

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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.