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Finding the Fourth Proportional to 4,273.97, 6,402.65 and 2,419.48

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Solution

The fourth proportional to 4,273.97, 6,402.65 and 2,419.48 is: 3,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.97 : 6,402.65 = 2,419.48 : x
  2. Step 2: Convert to fraction form
    4,273.97/6,402.65 = 2,419.48/x
  3. Step 3: Cross multiply
    4,273.97x = 6,402.65 × 2,419.48
  4. Step 4: Simplify right side
    4,273.97x = 15,491,039.51
  5. Step 5: Solve for x
    x = 15,491,039.51/4,273.97
  6. Step 6: Final answer
    x = 3,624.51

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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.