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Finding the Fourth Proportional to 5,967.71, 8,234.98 and 3,314.89

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Solution

The fourth proportional to 5,967.71, 8,234.98 and 3,314.89 is: 4,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.71 : 8,234.98 = 3,314.89 : x
  2. Step 2: Convert to fraction form
    5,967.71/8,234.98 = 3,314.89/x
  3. Step 3: Cross multiply
    5,967.71x = 8,234.98 × 3,314.89
  4. Step 4: Simplify right side
    5,967.71x = 27,298,052.85
  5. Step 5: Solve for x
    x = 27,298,052.85/5,967.71
  6. Step 6: Final answer
    x = 4,574.29

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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.