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Finding the Fourth Proportional to 5,972.22, 8,230.68 and 4,626

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Solution

The fourth proportional to 5,972.22, 8,230.68 and 4,626 is: 6,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.22 : 8,230.68 = 4,626 : x
  2. Step 2: Convert to fraction form
    5,972.22/8,230.68 = 4,626/x
  3. Step 3: Cross multiply
    5,972.22x = 8,230.68 × 4,626
  4. Step 4: Simplify right side
    5,972.22x = 38,075,125.68
  5. Step 5: Solve for x
    x = 38,075,125.68/5,972.22
  6. Step 6: Final answer
    x = 6,375.37

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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.