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Finding the Fourth Proportional to 3,902.98, 5,369.74 and 3,406.76

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Solution

The fourth proportional to 3,902.98, 5,369.74 and 3,406.76 is: 4,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.98 : 5,369.74 = 3,406.76 : x
  2. Step 2: Convert to fraction form
    3,902.98/5,369.74 = 3,406.76/x
  3. Step 3: Cross multiply
    3,902.98x = 5,369.74 × 3,406.76
  4. Step 4: Simplify right side
    3,902.98x = 18,293,415.44
  5. Step 5: Solve for x
    x = 18,293,415.44/3,902.98
  6. Step 6: Final answer
    x = 4,687.04

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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.