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Finding the Fourth Proportional to 3,766.44, 5,622.67 and 3,274.50

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Solution

The fourth proportional to 3,766.44, 5,622.67 and 3,274.50 is: 4,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.44 : 5,622.67 = 3,274.50 : x
  2. Step 2: Convert to fraction form
    3,766.44/5,622.67 = 3,274.50/x
  3. Step 3: Cross multiply
    3,766.44x = 5,622.67 × 3,274.50
  4. Step 4: Simplify right side
    3,766.44x = 18,411,432.92
  5. Step 5: Solve for x
    x = 18,411,432.92/3,766.44
  6. Step 6: Final answer
    x = 4,888.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.