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Finding the Fourth Proportional to 4,906.68, 7,359.60 and 1,396.68

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Solution

The fourth proportional to 4,906.68, 7,359.60 and 1,396.68 is: 2,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.68 : 7,359.60 = 1,396.68 : x
  2. Step 2: Convert to fraction form
    4,906.68/7,359.60 = 1,396.68/x
  3. Step 3: Cross multiply
    4,906.68x = 7,359.60 × 1,396.68
  4. Step 4: Simplify right side
    4,906.68x = 10,279,006.13
  5. Step 5: Solve for x
    x = 10,279,006.13/4,906.68
  6. Step 6: Final answer
    x = 2,094.90

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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.