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Finding the Fourth Proportional to 4,706.14, 7,055.56 and 2,728.73

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Solution

The fourth proportional to 4,706.14, 7,055.56 and 2,728.73 is: 4,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.14 : 7,055.56 = 2,728.73 : x
  2. Step 2: Convert to fraction form
    4,706.14/7,055.56 = 2,728.73/x
  3. Step 3: Cross multiply
    4,706.14x = 7,055.56 × 2,728.73
  4. Step 4: Simplify right side
    4,706.14x = 19,252,686.37
  5. Step 5: Solve for x
    x = 19,252,686.37/4,706.14
  6. Step 6: Final answer
    x = 4,090.97

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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.