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Finding the Fourth Proportional to 5,626.23, 7,764.21 and 3,074.03

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Solution

The fourth proportional to 5,626.23, 7,764.21 and 3,074.03 is: 4,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.23 : 7,764.21 = 3,074.03 : x
  2. Step 2: Convert to fraction form
    5,626.23/7,764.21 = 3,074.03/x
  3. Step 3: Cross multiply
    5,626.23x = 7,764.21 × 3,074.03
  4. Step 4: Simplify right side
    5,626.23x = 23,867,414.47
  5. Step 5: Solve for x
    x = 23,867,414.47/5,626.23
  6. Step 6: Final answer
    x = 4,242.17

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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.