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Finding the Fourth Proportional to 5,967.22, 8,233.86 and 3,314.64

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Solution

The fourth proportional to 5,967.22, 8,233.86 and 3,314.64 is: 4,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.22 : 8,233.86 = 3,314.64 : x
  2. Step 2: Convert to fraction form
    5,967.22/8,233.86 = 3,314.64/x
  3. Step 3: Cross multiply
    5,967.22x = 8,233.86 × 3,314.64
  4. Step 4: Simplify right side
    5,967.22x = 27,292,281.71
  5. Step 5: Solve for x
    x = 27,292,281.71/5,967.22
  6. Step 6: Final answer
    x = 4,573.70

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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.