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Finding the Fourth Proportional to 3,290.57, 4,936.66 and 2,318.57

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Solution

The fourth proportional to 3,290.57, 4,936.66 and 2,318.57 is: 3,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.57 : 4,936.66 = 2,318.57 : x
  2. Step 2: Convert to fraction form
    3,290.57/4,936.66 = 2,318.57/x
  3. Step 3: Cross multiply
    3,290.57x = 4,936.66 × 2,318.57
  4. Step 4: Simplify right side
    3,290.57x = 11,445,992.85
  5. Step 5: Solve for x
    x = 11,445,992.85/3,290.57
  6. Step 6: Final answer
    x = 3,478.42

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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.