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Finding the Fourth Proportional to 4,706.94, 6,494.25 and 2,940.33

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Solution

The fourth proportional to 4,706.94, 6,494.25 and 2,940.33 is: 4,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.94 : 6,494.25 = 2,940.33 : x
  2. Step 2: Convert to fraction form
    4,706.94/6,494.25 = 2,940.33/x
  3. Step 3: Cross multiply
    4,706.94x = 6,494.25 × 2,940.33
  4. Step 4: Simplify right side
    4,706.94x = 19,095,238.10
  5. Step 5: Solve for x
    x = 19,095,238.10/4,706.94
  6. Step 6: Final answer
    x = 4,056.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.