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Finding the Fourth Proportional to 3,820.34, 5,699.44 and 3,771.20

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Solution

The fourth proportional to 3,820.34, 5,699.44 and 3,771.20 is: 5,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.34 : 5,699.44 = 3,771.20 : x
  2. Step 2: Convert to fraction form
    3,820.34/5,699.44 = 3,771.20/x
  3. Step 3: Cross multiply
    3,820.34x = 5,699.44 × 3,771.20
  4. Step 4: Simplify right side
    3,820.34x = 21,493,728.13
  5. Step 5: Solve for x
    x = 21,493,728.13/3,820.34
  6. Step 6: Final answer
    x = 5,626.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.