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Finding the Fourth Proportional to 4,185.26, 6,277.03 and 3,977.10

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Solution

The fourth proportional to 4,185.26, 6,277.03 and 3,977.10 is: 5,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.26 : 6,277.03 = 3,977.10 : x
  2. Step 2: Convert to fraction form
    4,185.26/6,277.03 = 3,977.10/x
  3. Step 3: Cross multiply
    4,185.26x = 6,277.03 × 3,977.10
  4. Step 4: Simplify right side
    4,185.26x = 24,964,376.01
  5. Step 5: Solve for x
    x = 24,964,376.01/4,185.26
  6. Step 6: Final answer
    x = 5,964.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.