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Finding the Fourth Proportional to 6,311.55, 8,709.27 and 3,478.77

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Solution

The fourth proportional to 6,311.55, 8,709.27 and 3,478.77 is: 4,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.55 : 8,709.27 = 3,478.77 : x
  2. Step 2: Convert to fraction form
    6,311.55/8,709.27 = 3,478.77/x
  3. Step 3: Cross multiply
    6,311.55x = 8,709.27 × 3,478.77
  4. Step 4: Simplify right side
    6,311.55x = 30,297,578.22
  5. Step 5: Solve for x
    x = 30,297,578.22/6,311.55
  6. Step 6: Final answer
    x = 4,800.34

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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.