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Finding the Fourth Proportional to 5,967.71, 8,233.07 and 3,449.36

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Solution

The fourth proportional to 5,967.71, 8,233.07 and 3,449.36 is: 4,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.71 : 8,233.07 = 3,449.36 : x
  2. Step 2: Convert to fraction form
    5,967.71/8,233.07 = 3,449.36/x
  3. Step 3: Cross multiply
    5,967.71x = 8,233.07 × 3,449.36
  4. Step 4: Simplify right side
    5,967.71x = 28,398,822.34
  5. Step 5: Solve for x
    x = 28,398,822.34/5,967.71
  6. Step 6: Final answer
    x = 4,758.75

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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.