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Finding the Fourth Proportional to 5,967.17, 8,234.77 and 3,314.83

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Solution

The fourth proportional to 5,967.17, 8,234.77 and 3,314.83 is: 4,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.17 : 8,234.77 = 3,314.83 : x
  2. Step 2: Convert to fraction form
    5,967.17/8,234.77 = 3,314.83/x
  3. Step 3: Cross multiply
    5,967.17x = 8,234.77 × 3,314.83
  4. Step 4: Simplify right side
    5,967.17x = 27,296,862.64
  5. Step 5: Solve for x
    x = 27,296,862.64/5,967.17
  6. Step 6: Final answer
    x = 4,574.51

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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.