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Finding the Fourth Proportional to 6,002.89, 8,284.08 and 3,314.25

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Solution

The fourth proportional to 6,002.89, 8,284.08 and 3,314.25 is: 4,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.89 : 8,284.08 = 3,314.25 : x
  2. Step 2: Convert to fraction form
    6,002.89/8,284.08 = 3,314.25/x
  3. Step 3: Cross multiply
    6,002.89x = 8,284.08 × 3,314.25
  4. Step 4: Simplify right side
    6,002.89x = 27,455,512.14
  5. Step 5: Solve for x
    x = 27,455,512.14/6,002.89
  6. Step 6: Final answer
    x = 4,573.72

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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.