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Finding the Fourth Proportional to 4,311.58, 6,469.80 and 2,120.53

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Solution

The fourth proportional to 4,311.58, 6,469.80 and 2,120.53 is: 3,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.58 : 6,469.80 = 2,120.53 : x
  2. Step 2: Convert to fraction form
    4,311.58/6,469.80 = 2,120.53/x
  3. Step 3: Cross multiply
    4,311.58x = 6,469.80 × 2,120.53
  4. Step 4: Simplify right side
    4,311.58x = 13,719,404.99
  5. Step 5: Solve for x
    x = 13,719,404.99/4,311.58
  6. Step 6: Final answer
    x = 3,181.99

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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.