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Finding the Fourth Proportional to 3,305.94, 4,957.74 and 2,378.70

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Solution

The fourth proportional to 3,305.94, 4,957.74 and 2,378.70 is: 3,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.94 : 4,957.74 = 2,378.70 : x
  2. Step 2: Convert to fraction form
    3,305.94/4,957.74 = 2,378.70/x
  3. Step 3: Cross multiply
    3,305.94x = 4,957.74 × 2,378.70
  4. Step 4: Simplify right side
    3,305.94x = 11,792,976.14
  5. Step 5: Solve for x
    x = 11,792,976.14/3,305.94
  6. Step 6: Final answer
    x = 3,567.21

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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.