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Finding the Fourth Proportional to 4,000.89, 6,002.09 and 1,809.61

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Solution

The fourth proportional to 4,000.89, 6,002.09 and 1,809.61 is: 2,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.89 : 6,002.09 = 1,809.61 : x
  2. Step 2: Convert to fraction form
    4,000.89/6,002.09 = 1,809.61/x
  3. Step 3: Cross multiply
    4,000.89x = 6,002.09 × 1,809.61
  4. Step 4: Simplify right side
    4,000.89x = 10,861,442.08
  5. Step 5: Solve for x
    x = 10,861,442.08/4,000.89
  6. Step 6: Final answer
    x = 2,714.76

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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.