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Finding the Fourth Proportional to 3,897.19, 5,375.32 and 3,768.67

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Solution

The fourth proportional to 3,897.19, 5,375.32 and 3,768.67 is: 5,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.19 : 5,375.32 = 3,768.67 : x
  2. Step 2: Convert to fraction form
    3,897.19/5,375.32 = 3,768.67/x
  3. Step 3: Cross multiply
    3,897.19x = 5,375.32 × 3,768.67
  4. Step 4: Simplify right side
    3,897.19x = 20,257,807.22
  5. Step 5: Solve for x
    x = 20,257,807.22/3,897.19
  6. Step 6: Final answer
    x = 5,198.05

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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.