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Finding the Fourth Proportional to 5,941.33, 8,197.93 and 3,817.24

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Solution

The fourth proportional to 5,941.33, 8,197.93 and 3,817.24 is: 5,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.33 : 8,197.93 = 3,817.24 : x
  2. Step 2: Convert to fraction form
    5,941.33/8,197.93 = 3,817.24/x
  3. Step 3: Cross multiply
    5,941.33x = 8,197.93 × 3,817.24
  4. Step 4: Simplify right side
    5,941.33x = 31,293,466.31
  5. Step 5: Solve for x
    x = 31,293,466.31/5,941.33
  6. Step 6: Final answer
    x = 5,267.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.