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Finding the Fourth Proportional to 3,294.95, 4,942.44 and 2,675.72

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Solution

The fourth proportional to 3,294.95, 4,942.44 and 2,675.72 is: 4,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.95 : 4,942.44 = 2,675.72 : x
  2. Step 2: Convert to fraction form
    3,294.95/4,942.44 = 2,675.72/x
  3. Step 3: Cross multiply
    3,294.95x = 4,942.44 × 2,675.72
  4. Step 4: Simplify right side
    3,294.95x = 13,224,585.56
  5. Step 5: Solve for x
    x = 13,224,585.56/3,294.95
  6. Step 6: Final answer
    x = 4,013.59

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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.