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Finding the Fourth Proportional to 4,002.13, 6,003.11 and 1,809.32

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Solution

The fourth proportional to 4,002.13, 6,003.11 and 1,809.32 is: 2,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.13 : 6,003.11 = 1,809.32 : x
  2. Step 2: Convert to fraction form
    4,002.13/6,003.11 = 1,809.32/x
  3. Step 3: Cross multiply
    4,002.13x = 6,003.11 × 1,809.32
  4. Step 4: Simplify right side
    4,002.13x = 10,861,566.52
  5. Step 5: Solve for x
    x = 10,861,566.52/4,002.13
  6. Step 6: Final answer
    x = 2,713.95

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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.