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Finding the Fourth Proportional to 3,003.63, 4,496.68 and 2,004.09

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Solution

The fourth proportional to 3,003.63, 4,496.68 and 2,004.09 is: 3,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.63 : 4,496.68 = 2,004.09 : x
  2. Step 2: Convert to fraction form
    3,003.63/4,496.68 = 2,004.09/x
  3. Step 3: Cross multiply
    3,003.63x = 4,496.68 × 2,004.09
  4. Step 4: Simplify right side
    3,003.63x = 9,011,762.36
  5. Step 5: Solve for x
    x = 9,011,762.36/3,003.63
  6. Step 6: Final answer
    x = 3,000.29

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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.