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Finding the Fourth Proportional to 4,276.35, 6,406.16 and 3,811.95

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Solution

The fourth proportional to 4,276.35, 6,406.16 and 3,811.95 is: 5,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.35 : 6,406.16 = 3,811.95 : x
  2. Step 2: Convert to fraction form
    4,276.35/6,406.16 = 3,811.95/x
  3. Step 3: Cross multiply
    4,276.35x = 6,406.16 × 3,811.95
  4. Step 4: Simplify right side
    4,276.35x = 24,419,942.55
  5. Step 5: Solve for x
    x = 24,419,942.55/4,276.35
  6. Step 6: Final answer
    x = 5,710.46

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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.