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Finding the Fourth Proportional to 3,912.06, 5,864.42 and 1,313.18

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Solution

The fourth proportional to 3,912.06, 5,864.42 and 1,313.18 is: 1,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.06 : 5,864.42 = 1,313.18 : x
  2. Step 2: Convert to fraction form
    3,912.06/5,864.42 = 1,313.18/x
  3. Step 3: Cross multiply
    3,912.06x = 5,864.42 × 1,313.18
  4. Step 4: Simplify right side
    3,912.06x = 7,701,003.17
  5. Step 5: Solve for x
    x = 7,701,003.17/3,912.06
  6. Step 6: Final answer
    x = 1,968.53

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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.