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Finding the Fourth Proportional to 5,967.40, 8,233.71 and 3,609.49

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Solution

The fourth proportional to 5,967.40, 8,233.71 and 3,609.49 is: 4,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.40 : 8,233.71 = 3,609.49 : x
  2. Step 2: Convert to fraction form
    5,967.40/8,233.71 = 3,609.49/x
  3. Step 3: Cross multiply
    5,967.40x = 8,233.71 × 3,609.49
  4. Step 4: Simplify right side
    5,967.40x = 29,719,493.91
  5. Step 5: Solve for x
    x = 29,719,493.91/5,967.40
  6. Step 6: Final answer
    x = 4,980.31

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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.