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Finding the Fourth Proportional to 3,086.54, 4,609.42 and 2,643.14

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Solution

The fourth proportional to 3,086.54, 4,609.42 and 2,643.14 is: 3,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.54 : 4,609.42 = 2,643.14 : x
  2. Step 2: Convert to fraction form
    3,086.54/4,609.42 = 2,643.14/x
  3. Step 3: Cross multiply
    3,086.54x = 4,609.42 × 2,643.14
  4. Step 4: Simplify right side
    3,086.54x = 12,183,342.38
  5. Step 5: Solve for x
    x = 12,183,342.38/3,086.54
  6. Step 6: Final answer
    x = 3,947.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.