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Finding the Fourth Proportional to 4,820.67, 7,211.21 and 3,848.67

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Solution

The fourth proportional to 4,820.67, 7,211.21 and 3,848.67 is: 5,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.67 : 7,211.21 = 3,848.67 : x
  2. Step 2: Convert to fraction form
    4,820.67/7,211.21 = 3,848.67/x
  3. Step 3: Cross multiply
    4,820.67x = 7,211.21 × 3,848.67
  4. Step 4: Simplify right side
    4,820.67x = 27,753,548.35
  5. Step 5: Solve for x
    x = 27,753,548.35/4,820.67
  6. Step 6: Final answer
    x = 5,757.20

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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.