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Finding the Fourth Proportional to 3,903.87, 5,855.81 and 982.06

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Solution

The fourth proportional to 3,903.87, 5,855.81 and 982.06 is: 1,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.87 : 5,855.81 = 982.06 : x
  2. Step 2: Convert to fraction form
    3,903.87/5,855.81 = 982.06/x
  3. Step 3: Cross multiply
    3,903.87x = 5,855.81 × 982.06
  4. Step 4: Simplify right side
    3,903.87x = 5,750,756.77
  5. Step 5: Solve for x
    x = 5,750,756.77/3,903.87
  6. Step 6: Final answer
    x = 1,473.09

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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.