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Finding the Fourth Proportional to 3,797.96, 5,696.99 and 1,332.85

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Solution

The fourth proportional to 3,797.96, 5,696.99 and 1,332.85 is: 1,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.96 : 5,696.99 = 1,332.85 : x
  2. Step 2: Convert to fraction form
    3,797.96/5,696.99 = 1,332.85/x
  3. Step 3: Cross multiply
    3,797.96x = 5,696.99 × 1,332.85
  4. Step 4: Simplify right side
    3,797.96x = 7,593,226.46
  5. Step 5: Solve for x
    x = 7,593,226.46/3,797.96
  6. Step 6: Final answer
    x = 1,999.29

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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.