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Finding the Fourth Proportional to 4,235.90, 6,352.67 and 1,770.31

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Solution

The fourth proportional to 4,235.90, 6,352.67 and 1,770.31 is: 2,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.90 : 6,352.67 = 1,770.31 : x
  2. Step 2: Convert to fraction form
    4,235.90/6,352.67 = 1,770.31/x
  3. Step 3: Cross multiply
    4,235.90x = 6,352.67 × 1,770.31
  4. Step 4: Simplify right side
    4,235.90x = 11,246,163.46
  5. Step 5: Solve for x
    x = 11,246,163.46/4,235.90
  6. Step 6: Final answer
    x = 2,654.97

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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.