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Finding the Fourth Proportional to 4,289.79, 6,435.90 and 2,211.31

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Solution

The fourth proportional to 4,289.79, 6,435.90 and 2,211.31 is: 3,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.79 : 6,435.90 = 2,211.31 : x
  2. Step 2: Convert to fraction form
    4,289.79/6,435.90 = 2,211.31/x
  3. Step 3: Cross multiply
    4,289.79x = 6,435.90 × 2,211.31
  4. Step 4: Simplify right side
    4,289.79x = 14,231,770.03
  5. Step 5: Solve for x
    x = 14,231,770.03/4,289.79
  6. Step 6: Final answer
    x = 3,317.59

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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.