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Finding the Fourth Proportional to 6,072.47, 8,380.16 and 3,419.97

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Solution

The fourth proportional to 6,072.47, 8,380.16 and 3,419.97 is: 4,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.47 : 8,380.16 = 3,419.97 : x
  2. Step 2: Convert to fraction form
    6,072.47/8,380.16 = 3,419.97/x
  3. Step 3: Cross multiply
    6,072.47x = 8,380.16 × 3,419.97
  4. Step 4: Simplify right side
    6,072.47x = 28,659,878.70
  5. Step 5: Solve for x
    x = 28,659,878.70/6,072.47
  6. Step 6: Final answer
    x = 4,719.64

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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.