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Finding the Fourth Proportional to 5,972.70, 8,214.92 and 4,791.18

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Solution

The fourth proportional to 5,972.70, 8,214.92 and 4,791.18 is: 6,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.70 : 8,214.92 = 4,791.18 : x
  2. Step 2: Convert to fraction form
    5,972.70/8,214.92 = 4,791.18/x
  3. Step 3: Cross multiply
    5,972.70x = 8,214.92 × 4,791.18
  4. Step 4: Simplify right side
    5,972.70x = 39,359,160.41
  5. Step 5: Solve for x
    x = 39,359,160.41/5,972.70
  6. Step 6: Final answer
    x = 6,589.84

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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.