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Finding the Fourth Proportional to 4,900.14, 7,352.37 and 1,939.47

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Solution

The fourth proportional to 4,900.14, 7,352.37 and 1,939.47 is: 2,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.14 : 7,352.37 = 1,939.47 : x
  2. Step 2: Convert to fraction form
    4,900.14/7,352.37 = 1,939.47/x
  3. Step 3: Cross multiply
    4,900.14x = 7,352.37 × 1,939.47
  4. Step 4: Simplify right side
    4,900.14x = 14,259,701.04
  5. Step 5: Solve for x
    x = 14,259,701.04/4,900.14
  6. Step 6: Final answer
    x = 2,910.06

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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.