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Finding the Fourth Proportional to 5,971.14, 8,239.81 and 3,318.46

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Solution

The fourth proportional to 5,971.14, 8,239.81 and 3,318.46 is: 4,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.14 : 8,239.81 = 3,318.46 : x
  2. Step 2: Convert to fraction form
    5,971.14/8,239.81 = 3,318.46/x
  3. Step 3: Cross multiply
    5,971.14x = 8,239.81 × 3,318.46
  4. Step 4: Simplify right side
    5,971.14x = 27,343,479.89
  5. Step 5: Solve for x
    x = 27,343,479.89/5,971.14
  6. Step 6: Final answer
    x = 4,579.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.