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Finding the Fourth Proportional to 6,054.69, 9,082.44 and 1,671.78

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Solution

The fourth proportional to 6,054.69, 9,082.44 and 1,671.78 is: 2,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.69 : 9,082.44 = 1,671.78 : x
  2. Step 2: Convert to fraction form
    6,054.69/9,082.44 = 1,671.78/x
  3. Step 3: Cross multiply
    6,054.69x = 9,082.44 × 1,671.78
  4. Step 4: Simplify right side
    6,054.69x = 15,183,841.54
  5. Step 5: Solve for x
    x = 15,183,841.54/6,054.69
  6. Step 6: Final answer
    x = 2,507.78

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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.