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Finding the Fourth Proportional to 4,902.14, 7,343.94 and 3,801.10

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Solution

The fourth proportional to 4,902.14, 7,343.94 and 3,801.10 is: 5,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.14 : 7,343.94 = 3,801.10 : x
  2. Step 2: Convert to fraction form
    4,902.14/7,343.94 = 3,801.10/x
  3. Step 3: Cross multiply
    4,902.14x = 7,343.94 × 3,801.10
  4. Step 4: Simplify right side
    4,902.14x = 27,915,050.33
  5. Step 5: Solve for x
    x = 27,915,050.33/4,902.14
  6. Step 6: Final answer
    x = 5,694.46

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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.