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Finding the Fourth Proportional to 3,626.04, 5,004.74 and 2,055

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Solution

The fourth proportional to 3,626.04, 5,004.74 and 2,055 is: 2,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.04 : 5,004.74 = 2,055 : x
  2. Step 2: Convert to fraction form
    3,626.04/5,004.74 = 2,055/x
  3. Step 3: Cross multiply
    3,626.04x = 5,004.74 × 2,055
  4. Step 4: Simplify right side
    3,626.04x = 10,284,740.70
  5. Step 5: Solve for x
    x = 10,284,740.70/3,626.04
  6. Step 6: Final answer
    x = 2,836.36

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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.