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Finding the Fourth Proportional to 6,072.53, 8,378.15 and 3,419.42

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Solution

The fourth proportional to 6,072.53, 8,378.15 and 3,419.42 is: 4,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.53 : 8,378.15 = 3,419.42 : x
  2. Step 2: Convert to fraction form
    6,072.53/8,378.15 = 3,419.42/x
  3. Step 3: Cross multiply
    6,072.53x = 8,378.15 × 3,419.42
  4. Step 4: Simplify right side
    6,072.53x = 28,648,396.58
  5. Step 5: Solve for x
    x = 28,648,396.58/6,072.53
  6. Step 6: Final answer
    x = 4,717.71

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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.