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Finding the Fourth Proportional to 5,967.96, 8,232.08 and 3,842.78

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Solution

The fourth proportional to 5,967.96, 8,232.08 and 3,842.78 is: 5,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.96 : 8,232.08 = 3,842.78 : x
  2. Step 2: Convert to fraction form
    5,967.96/8,232.08 = 3,842.78/x
  3. Step 3: Cross multiply
    5,967.96x = 8,232.08 × 3,842.78
  4. Step 4: Simplify right side
    5,967.96x = 31,634,072.38
  5. Step 5: Solve for x
    x = 31,634,072.38/5,967.96
  6. Step 6: Final answer
    x = 5,300.65

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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.