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Finding the Fourth Proportional to 5,999.16, 8,277.17 and 3,874.78

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Solution

The fourth proportional to 5,999.16, 8,277.17 and 3,874.78 is: 5,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.16 : 8,277.17 = 3,874.78 : x
  2. Step 2: Convert to fraction form
    5,999.16/8,277.17 = 3,874.78/x
  3. Step 3: Cross multiply
    5,999.16x = 8,277.17 × 3,874.78
  4. Step 4: Simplify right side
    5,999.16x = 32,072,212.77
  5. Step 5: Solve for x
    x = 32,072,212.77/5,999.16
  6. Step 6: Final answer
    x = 5,346.12

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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.