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Finding the Fourth Proportional to 4,906.26, 7,361.28 and 2,307.38

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Solution

The fourth proportional to 4,906.26, 7,361.28 and 2,307.38 is: 3,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.26 : 7,361.28 = 2,307.38 : x
  2. Step 2: Convert to fraction form
    4,906.26/7,361.28 = 2,307.38/x
  3. Step 3: Cross multiply
    4,906.26x = 7,361.28 × 2,307.38
  4. Step 4: Simplify right side
    4,906.26x = 16,985,233.44
  5. Step 5: Solve for x
    x = 16,985,233.44/4,906.26
  6. Step 6: Final answer
    x = 3,461.95

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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.