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Finding the Fourth Proportional to 5,942.80, 8,199.80 and 3,584.90

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Solution

The fourth proportional to 5,942.80, 8,199.80 and 3,584.90 is: 4,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.80 : 8,199.80 = 3,584.90 : x
  2. Step 2: Convert to fraction form
    5,942.80/8,199.80 = 3,584.90/x
  3. Step 3: Cross multiply
    5,942.80x = 8,199.80 × 3,584.90
  4. Step 4: Simplify right side
    5,942.80x = 29,395,463.02
  5. Step 5: Solve for x
    x = 29,395,463.02/5,942.80
  6. Step 6: Final answer
    x = 4,946.40

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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.