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Finding the Fourth Proportional to 3,004.63, 4,498.18 and 2,005.09

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Solution

The fourth proportional to 3,004.63, 4,498.18 and 2,005.09 is: 3,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.63 : 4,498.18 = 2,005.09 : x
  2. Step 2: Convert to fraction form
    3,004.63/4,498.18 = 2,005.09/x
  3. Step 3: Cross multiply
    3,004.63x = 4,498.18 × 2,005.09
  4. Step 4: Simplify right side
    3,004.63x = 9,019,255.74
  5. Step 5: Solve for x
    x = 9,019,255.74/3,004.63
  6. Step 6: Final answer
    x = 3,001.79

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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.