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Finding the Fourth Proportional to 3,000.09, 4,138.40 and 1,804.25

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Solution

The fourth proportional to 3,000.09, 4,138.40 and 1,804.25 is: 2,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.09 : 4,138.40 = 1,804.25 : x
  2. Step 2: Convert to fraction form
    3,000.09/4,138.40 = 1,804.25/x
  3. Step 3: Cross multiply
    3,000.09x = 4,138.40 × 1,804.25
  4. Step 4: Simplify right side
    3,000.09x = 7,466,708.20
  5. Step 5: Solve for x
    x = 7,466,708.20/3,000.09
  6. Step 6: Final answer
    x = 2,488.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.