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Finding the Fourth Proportional to 6,213.56, 8,575.67 and 3,980.75

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Solution

The fourth proportional to 6,213.56, 8,575.67 and 3,980.75 is: 5,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.56 : 8,575.67 = 3,980.75 : x
  2. Step 2: Convert to fraction form
    6,213.56/8,575.67 = 3,980.75/x
  3. Step 3: Cross multiply
    6,213.56x = 8,575.67 × 3,980.75
  4. Step 4: Simplify right side
    6,213.56x = 34,137,599.89
  5. Step 5: Solve for x
    x = 34,137,599.89/6,213.56
  6. Step 6: Final answer
    x = 5,494.05

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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.