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Finding the Fourth Proportional to 5,971.09, 8,239.98 and 3,318.34

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Solution

The fourth proportional to 5,971.09, 8,239.98 and 3,318.34 is: 4,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.09 : 8,239.98 = 3,318.34 : x
  2. Step 2: Convert to fraction form
    5,971.09/8,239.98 = 3,318.34/x
  3. Step 3: Cross multiply
    5,971.09x = 8,239.98 × 3,318.34
  4. Step 4: Simplify right side
    5,971.09x = 27,343,055.23
  5. Step 5: Solve for x
    x = 27,343,055.23/5,971.09
  6. Step 6: Final answer
    x = 4,579.24

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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.