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Finding the Fourth Proportional to 4,190.29, 6,289.52 and 2,000.52

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Solution

The fourth proportional to 4,190.29, 6,289.52 and 2,000.52 is: 3,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.29 : 6,289.52 = 2,000.52 : x
  2. Step 2: Convert to fraction form
    4,190.29/6,289.52 = 2,000.52/x
  3. Step 3: Cross multiply
    4,190.29x = 6,289.52 × 2,000.52
  4. Step 4: Simplify right side
    4,190.29x = 12,582,300.55
  5. Step 5: Solve for x
    x = 12,582,300.55/4,190.29
  6. Step 6: Final answer
    x = 3,002.73

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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.