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Finding the Fourth Proportional to 5,967.12, 8,233.80 and 3,314.28

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Solution

The fourth proportional to 5,967.12, 8,233.80 and 3,314.28 is: 4,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.12 : 8,233.80 = 3,314.28 : x
  2. Step 2: Convert to fraction form
    5,967.12/8,233.80 = 3,314.28/x
  3. Step 3: Cross multiply
    5,967.12x = 8,233.80 × 3,314.28
  4. Step 4: Simplify right side
    5,967.12x = 27,289,118.66
  5. Step 5: Solve for x
    x = 27,289,118.66/5,967.12
  6. Step 6: Final answer
    x = 4,573.25

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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.