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Finding the Fourth Proportional to 3,294.44, 4,947.42 and 2,601.80

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Solution

The fourth proportional to 3,294.44, 4,947.42 and 2,601.80 is: 3,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.44 : 4,947.42 = 2,601.80 : x
  2. Step 2: Convert to fraction form
    3,294.44/4,947.42 = 2,601.80/x
  3. Step 3: Cross multiply
    3,294.44x = 4,947.42 × 2,601.80
  4. Step 4: Simplify right side
    3,294.44x = 12,872,197.36
  5. Step 5: Solve for x
    x = 12,872,197.36/3,294.44
  6. Step 6: Final answer
    x = 3,907.25

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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.