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Finding the Fourth Proportional to 3,912.35, 5,868.05 and 990.68

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Solution

The fourth proportional to 3,912.35, 5,868.05 and 990.68 is: 1,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.35 : 5,868.05 = 990.68 : x
  2. Step 2: Convert to fraction form
    3,912.35/5,868.05 = 990.68/x
  3. Step 3: Cross multiply
    3,912.35x = 5,868.05 × 990.68
  4. Step 4: Simplify right side
    3,912.35x = 5,813,325.48
  5. Step 5: Solve for x
    x = 5,813,325.48/3,912.35
  6. Step 6: Final answer
    x = 1,485.89

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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.