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Finding the Fourth Proportional to 5,941.56, 8,200.26 and 3,703.80

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Solution

The fourth proportional to 5,941.56, 8,200.26 and 3,703.80 is: 5,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.56 : 8,200.26 = 3,703.80 : x
  2. Step 2: Convert to fraction form
    5,941.56/8,200.26 = 3,703.80/x
  3. Step 3: Cross multiply
    5,941.56x = 8,200.26 × 3,703.80
  4. Step 4: Simplify right side
    5,941.56x = 30,372,122.99
  5. Step 5: Solve for x
    x = 30,372,122.99/5,941.56
  6. Step 6: Final answer
    x = 5,111.81

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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.