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Finding the Fourth Proportional to 4,224.62, 5,798.80 and 3,741.98

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Solution

The fourth proportional to 4,224.62, 5,798.80 and 3,741.98 is: 5,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.62 : 5,798.80 = 3,741.98 : x
  2. Step 2: Convert to fraction form
    4,224.62/5,798.80 = 3,741.98/x
  3. Step 3: Cross multiply
    4,224.62x = 5,798.80 × 3,741.98
  4. Step 4: Simplify right side
    4,224.62x = 21,698,993.62
  5. Step 5: Solve for x
    x = 21,698,993.62/4,224.62
  6. Step 6: Final answer
    x = 5,136.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.