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Finding the Fourth Proportional to 4,000.90, 5,993.70 and 2,151.40

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Solution

The fourth proportional to 4,000.90, 5,993.70 and 2,151.40 is: 3,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.90 : 5,993.70 = 2,151.40 : x
  2. Step 2: Convert to fraction form
    4,000.90/5,993.70 = 2,151.40/x
  3. Step 3: Cross multiply
    4,000.90x = 5,993.70 × 2,151.40
  4. Step 4: Simplify right side
    4,000.90x = 12,894,846.18
  5. Step 5: Solve for x
    x = 12,894,846.18/4,000.90
  6. Step 6: Final answer
    x = 3,222.99

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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.