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Finding the Fourth Proportional to 4,796.14, 7,194 and 1,333.42

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Solution

The fourth proportional to 4,796.14, 7,194 and 1,333.42 is: 2,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.14 : 7,194 = 1,333.42 : x
  2. Step 2: Convert to fraction form
    4,796.14/7,194 = 1,333.42/x
  3. Step 3: Cross multiply
    4,796.14x = 7,194 × 1,333.42
  4. Step 4: Simplify right side
    4,796.14x = 9,592,623.48
  5. Step 5: Solve for x
    x = 9,592,623.48/4,796.14
  6. Step 6: Final answer
    x = 2,000.07

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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.