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Finding the Fourth Proportional to 3,762.54, 5,189.66 and 2,626.32

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Solution

The fourth proportional to 3,762.54, 5,189.66 and 2,626.32 is: 3,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.54 : 5,189.66 = 2,626.32 : x
  2. Step 2: Convert to fraction form
    3,762.54/5,189.66 = 2,626.32/x
  3. Step 3: Cross multiply
    3,762.54x = 5,189.66 × 2,626.32
  4. Step 4: Simplify right side
    3,762.54x = 13,629,707.85
  5. Step 5: Solve for x
    x = 13,629,707.85/3,762.54
  6. Step 6: Final answer
    x = 3,622.48

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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.