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Finding the Fourth Proportional to 6,474.05, 8,931.89 and 3,820.13

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Solution

The fourth proportional to 6,474.05, 8,931.89 and 3,820.13 is: 5,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.05 : 8,931.89 = 3,820.13 : x
  2. Step 2: Convert to fraction form
    6,474.05/8,931.89 = 3,820.13/x
  3. Step 3: Cross multiply
    6,474.05x = 8,931.89 × 3,820.13
  4. Step 4: Simplify right side
    6,474.05x = 34,120,961.85
  5. Step 5: Solve for x
    x = 34,120,961.85/6,474.05
  6. Step 6: Final answer
    x = 5,270.42

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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.