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Finding the Fourth Proportional to 3,292.65, 4,936.82 and 2,947.05

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Solution

The fourth proportional to 3,292.65, 4,936.82 and 2,947.05 is: 4,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.65 : 4,936.82 = 2,947.05 : x
  2. Step 2: Convert to fraction form
    3,292.65/4,936.82 = 2,947.05/x
  3. Step 3: Cross multiply
    3,292.65x = 4,936.82 × 2,947.05
  4. Step 4: Simplify right side
    3,292.65x = 14,549,040.65
  5. Step 5: Solve for x
    x = 14,549,040.65/3,292.65
  6. Step 6: Final answer
    x = 4,418.64

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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.