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Finding the Fourth Proportional to 4,694.75, 6,480.20 and 2,706.63

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Solution

The fourth proportional to 4,694.75, 6,480.20 and 2,706.63 is: 3,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.75 : 6,480.20 = 2,706.63 : x
  2. Step 2: Convert to fraction form
    4,694.75/6,480.20 = 2,706.63/x
  3. Step 3: Cross multiply
    4,694.75x = 6,480.20 × 2,706.63
  4. Step 4: Simplify right side
    4,694.75x = 17,539,490.19
  5. Step 5: Solve for x
    x = 17,539,490.19/4,694.75
  6. Step 6: Final answer
    x = 3,735.98

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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.