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Finding the Fourth Proportional to 4,906.42, 7,353.99 and 2,442.94

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Solution

The fourth proportional to 4,906.42, 7,353.99 and 2,442.94 is: 3,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.42 : 7,353.99 = 2,442.94 : x
  2. Step 2: Convert to fraction form
    4,906.42/7,353.99 = 2,442.94/x
  3. Step 3: Cross multiply
    4,906.42x = 7,353.99 × 2,442.94
  4. Step 4: Simplify right side
    4,906.42x = 17,965,356.33
  5. Step 5: Solve for x
    x = 17,965,356.33/4,906.42
  6. Step 6: Final answer
    x = 3,661.60

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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.