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Finding the Fourth Proportional to 3,396.56, 4,684.62 and 2,277.14

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Solution

The fourth proportional to 3,396.56, 4,684.62 and 2,277.14 is: 3,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.56 : 4,684.62 = 2,277.14 : x
  2. Step 2: Convert to fraction form
    3,396.56/4,684.62 = 2,277.14/x
  3. Step 3: Cross multiply
    3,396.56x = 4,684.62 × 2,277.14
  4. Step 4: Simplify right side
    3,396.56x = 10,667,535.59
  5. Step 5: Solve for x
    x = 10,667,535.59/3,396.56
  6. Step 6: Final answer
    x = 3,140.69

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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.