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Finding the Fourth Proportional to 5,971.38, 8,176.80 and 5,736.11

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Solution

The fourth proportional to 5,971.38, 8,176.80 and 5,736.11 is: 7,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.38 : 8,176.80 = 5,736.11 : x
  2. Step 2: Convert to fraction form
    5,971.38/8,176.80 = 5,736.11/x
  3. Step 3: Cross multiply
    5,971.38x = 8,176.80 × 5,736.11
  4. Step 4: Simplify right side
    5,971.38x = 46,902,983.36
  5. Step 5: Solve for x
    x = 46,902,983.36/5,971.38
  6. Step 6: Final answer
    x = 7,854.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.