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Finding the Fourth Proportional to 3,304.67, 4,947.27 and 2,894.61

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Solution

The fourth proportional to 3,304.67, 4,947.27 and 2,894.61 is: 4,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.67 : 4,947.27 = 2,894.61 : x
  2. Step 2: Convert to fraction form
    3,304.67/4,947.27 = 2,894.61/x
  3. Step 3: Cross multiply
    3,304.67x = 4,947.27 × 2,894.61
  4. Step 4: Simplify right side
    3,304.67x = 14,320,438.31
  5. Step 5: Solve for x
    x = 14,320,438.31/3,304.67
  6. Step 6: Final answer
    x = 4,333.39

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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.