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Finding the Fourth Proportional to 3,766.53, 5,650.11 and 1,300.35

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Solution

The fourth proportional to 3,766.53, 5,650.11 and 1,300.35 is: 1,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.53 : 5,650.11 = 1,300.35 : x
  2. Step 2: Convert to fraction form
    3,766.53/5,650.11 = 1,300.35/x
  3. Step 3: Cross multiply
    3,766.53x = 5,650.11 × 1,300.35
  4. Step 4: Simplify right side
    3,766.53x = 7,347,120.54
  5. Step 5: Solve for x
    x = 7,347,120.54/3,766.53
  6. Step 6: Final answer
    x = 1,950.63

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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.