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Finding the Fourth Proportional to 3,912.68, 5,869.08 and 991.01

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Solution

The fourth proportional to 3,912.68, 5,869.08 and 991.01 is: 1,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.68 : 5,869.08 = 991.01 : x
  2. Step 2: Convert to fraction form
    3,912.68/5,869.08 = 991.01/x
  3. Step 3: Cross multiply
    3,912.68x = 5,869.08 × 991.01
  4. Step 4: Simplify right side
    3,912.68x = 5,816,316.97
  5. Step 5: Solve for x
    x = 5,816,316.97/3,912.68
  6. Step 6: Final answer
    x = 1,486.53

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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.