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Finding the Fourth Proportional to 4,469.67, 6,706.74 and 2,006.25

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Solution

The fourth proportional to 4,469.67, 6,706.74 and 2,006.25 is: 3,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.67 : 6,706.74 = 2,006.25 : x
  2. Step 2: Convert to fraction form
    4,469.67/6,706.74 = 2,006.25/x
  3. Step 3: Cross multiply
    4,469.67x = 6,706.74 × 2,006.25
  4. Step 4: Simplify right side
    4,469.67x = 13,455,397.13
  5. Step 5: Solve for x
    x = 13,455,397.13/4,469.67
  6. Step 6: Final answer
    x = 3,010.38

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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.