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Finding the Fourth Proportional to 4,014.45, 6,021.74 and 3,797.57

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Solution

The fourth proportional to 4,014.45, 6,021.74 and 3,797.57 is: 5,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.45 : 6,021.74 = 3,797.57 : x
  2. Step 2: Convert to fraction form
    4,014.45/6,021.74 = 3,797.57/x
  3. Step 3: Cross multiply
    4,014.45x = 6,021.74 × 3,797.57
  4. Step 4: Simplify right side
    4,014.45x = 22,867,930.08
  5. Step 5: Solve for x
    x = 22,867,930.08/4,014.45
  6. Step 6: Final answer
    x = 5,696.40

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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.