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Finding the Fourth Proportional to 4,982.44, 7,473.14 and 1,284.56

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Solution

The fourth proportional to 4,982.44, 7,473.14 and 1,284.56 is: 1,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.44 : 7,473.14 = 1,284.56 : x
  2. Step 2: Convert to fraction form
    4,982.44/7,473.14 = 1,284.56/x
  3. Step 3: Cross multiply
    4,982.44x = 7,473.14 × 1,284.56
  4. Step 4: Simplify right side
    4,982.44x = 9,599,696.72
  5. Step 5: Solve for x
    x = 9,599,696.72/4,982.44
  6. Step 6: Final answer
    x = 1,926.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.