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Finding the Fourth Proportional to 3,294.69, 4,936.55 and 2,318.74

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Solution

The fourth proportional to 3,294.69, 4,936.55 and 2,318.74 is: 3,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.69 : 4,936.55 = 2,318.74 : x
  2. Step 2: Convert to fraction form
    3,294.69/4,936.55 = 2,318.74/x
  3. Step 3: Cross multiply
    3,294.69x = 4,936.55 × 2,318.74
  4. Step 4: Simplify right side
    3,294.69x = 11,446,575.95
  5. Step 5: Solve for x
    x = 11,446,575.95/3,294.69
  6. Step 6: Final answer
    x = 3,474.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.