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Finding the Fourth Proportional to 3,766.30, 5,197.69 and 2,274.32

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Solution

The fourth proportional to 3,766.30, 5,197.69 and 2,274.32 is: 3,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.30 : 5,197.69 = 2,274.32 : x
  2. Step 2: Convert to fraction form
    3,766.30/5,197.69 = 2,274.32/x
  3. Step 3: Cross multiply
    3,766.30x = 5,197.69 × 2,274.32
  4. Step 4: Simplify right side
    3,766.30x = 11,821,210.32
  5. Step 5: Solve for x
    x = 11,821,210.32/3,766.30
  6. Step 6: Final answer
    x = 3,138.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.