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Finding the Fourth Proportional to 5,971.14, 8,237.97 and 3,874.50

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Solution

The fourth proportional to 5,971.14, 8,237.97 and 3,874.50 is: 5,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.14 : 8,237.97 = 3,874.50 : x
  2. Step 2: Convert to fraction form
    5,971.14/8,237.97 = 3,874.50/x
  3. Step 3: Cross multiply
    5,971.14x = 8,237.97 × 3,874.50
  4. Step 4: Simplify right side
    5,971.14x = 31,918,014.77
  5. Step 5: Solve for x
    x = 31,918,014.77/5,971.14
  6. Step 6: Final answer
    x = 5,345.38

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Why These Related Problems?

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