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Finding the Fourth Proportional to 3,433.16, 5,149.75 and 967.99

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Solution

The fourth proportional to 3,433.16, 5,149.75 and 967.99 is: 1,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.16 : 5,149.75 = 967.99 : x
  2. Step 2: Convert to fraction form
    3,433.16/5,149.75 = 967.99/x
  3. Step 3: Cross multiply
    3,433.16x = 5,149.75 × 967.99
  4. Step 4: Simplify right side
    3,433.16x = 4,984,880.75
  5. Step 5: Solve for x
    x = 4,984,880.75/3,433.16
  6. Step 6: Final answer
    x = 1,451.98

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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.