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Finding the Fourth Proportional to 4,900.08, 6,754.14 and 3,836.07

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Solution

The fourth proportional to 4,900.08, 6,754.14 and 3,836.07 is: 5,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.08 : 6,754.14 = 3,836.07 : x
  2. Step 2: Convert to fraction form
    4,900.08/6,754.14 = 3,836.07/x
  3. Step 3: Cross multiply
    4,900.08x = 6,754.14 × 3,836.07
  4. Step 4: Simplify right side
    4,900.08x = 25,909,353.83
  5. Step 5: Solve for x
    x = 25,909,353.83/4,900.08
  6. Step 6: Final answer
    x = 5,287.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.