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Finding the Fourth Proportional to 4,473.66, 6,174.78 and 2,706.48

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Solution

The fourth proportional to 4,473.66, 6,174.78 and 2,706.48 is: 3,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.66 : 6,174.78 = 2,706.48 : x
  2. Step 2: Convert to fraction form
    4,473.66/6,174.78 = 2,706.48/x
  3. Step 3: Cross multiply
    4,473.66x = 6,174.78 × 2,706.48
  4. Step 4: Simplify right side
    4,473.66x = 16,711,918.57
  5. Step 5: Solve for x
    x = 16,711,918.57/4,473.66
  6. Step 6: Final answer
    x = 3,735.63

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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.