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Finding the Fourth Proportional to 4,000.20, 5,993.10 and 2,459.40

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Solution

The fourth proportional to 4,000.20, 5,993.10 and 2,459.40 is: 3,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.20 : 5,993.10 = 2,459.40 : x
  2. Step 2: Convert to fraction form
    4,000.20/5,993.10 = 2,459.40/x
  3. Step 3: Cross multiply
    4,000.20x = 5,993.10 × 2,459.40
  4. Step 4: Simplify right side
    4,000.20x = 14,739,430.14
  5. Step 5: Solve for x
    x = 14,739,430.14/4,000.20
  6. Step 6: Final answer
    x = 3,684.67

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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.