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Finding the Fourth Proportional to 4,186.44, 5,771.50 and 4,057.04

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Solution

The fourth proportional to 4,186.44, 5,771.50 and 4,057.04 is: 5,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.44 : 5,771.50 = 4,057.04 : x
  2. Step 2: Convert to fraction form
    4,186.44/5,771.50 = 4,057.04/x
  3. Step 3: Cross multiply
    4,186.44x = 5,771.50 × 4,057.04
  4. Step 4: Simplify right side
    4,186.44x = 23,415,206.36
  5. Step 5: Solve for x
    x = 23,415,206.36/4,186.44
  6. Step 6: Final answer
    x = 5,593.11

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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.