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Finding the Fourth Proportional to 4,466.73, 6,706.25 and 2,277

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Solution

The fourth proportional to 4,466.73, 6,706.25 and 2,277 is: 3,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.73 : 6,706.25 = 2,277 : x
  2. Step 2: Convert to fraction form
    4,466.73/6,706.25 = 2,277/x
  3. Step 3: Cross multiply
    4,466.73x = 6,706.25 × 2,277
  4. Step 4: Simplify right side
    4,466.73x = 15,270,131.25
  5. Step 5: Solve for x
    x = 15,270,131.25/4,466.73
  6. Step 6: Final answer
    x = 3,418.64

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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.