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Finding the Fourth Proportional to 7,238.85, 10,858.49 and 2,558.21

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Solution

The fourth proportional to 7,238.85, 10,858.49 and 2,558.21 is: 3,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.85 : 10,858.49 = 2,558.21 : x
  2. Step 2: Convert to fraction form
    7,238.85/10,858.49 = 2,558.21/x
  3. Step 3: Cross multiply
    7,238.85x = 10,858.49 × 2,558.21
  4. Step 4: Simplify right side
    7,238.85x = 27,778,230.62
  5. Step 5: Solve for x
    x = 27,778,230.62/7,238.85
  6. Step 6: Final answer
    x = 3,837.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.