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Finding the Fourth Proportional to 4,205.79, 6,308.69 and 2,270.30

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Solution

The fourth proportional to 4,205.79, 6,308.69 and 2,270.30 is: 3,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.79 : 6,308.69 = 2,270.30 : x
  2. Step 2: Convert to fraction form
    4,205.79/6,308.69 = 2,270.30/x
  3. Step 3: Cross multiply
    4,205.79x = 6,308.69 × 2,270.30
  4. Step 4: Simplify right side
    4,205.79x = 14,322,576.01
  5. Step 5: Solve for x
    x = 14,322,576.01/4,205.79
  6. Step 6: Final answer
    x = 3,405.44

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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.