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Finding the Fourth Proportional to 3,794.46, 5,690.58 and 1,328.82

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Solution

The fourth proportional to 3,794.46, 5,690.58 and 1,328.82 is: 1,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.46 : 5,690.58 = 1,328.82 : x
  2. Step 2: Convert to fraction form
    3,794.46/5,690.58 = 1,328.82/x
  3. Step 3: Cross multiply
    3,794.46x = 5,690.58 × 1,328.82
  4. Step 4: Simplify right side
    3,794.46x = 7,561,756.52
  5. Step 5: Solve for x
    x = 7,561,756.52/3,794.46
  6. Step 6: Final answer
    x = 1,992.84

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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.