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Finding the Fourth Proportional to 5,969.90, 8,957.82 and 4,517.96

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Solution

The fourth proportional to 5,969.90, 8,957.82 and 4,517.96 is: 6,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.90 : 8,957.82 = 4,517.96 : x
  2. Step 2: Convert to fraction form
    5,969.90/8,957.82 = 4,517.96/x
  3. Step 3: Cross multiply
    5,969.90x = 8,957.82 × 4,517.96
  4. Step 4: Simplify right side
    5,969.90x = 40,471,072.45
  5. Step 5: Solve for x
    x = 40,471,072.45/5,969.90
  6. Step 6: Final answer
    x = 6,779.19

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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.