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Finding the Fourth Proportional to 3,185.01, 4,775.19 and 2,142.42

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Solution

The fourth proportional to 3,185.01, 4,775.19 and 2,142.42 is: 3,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.01 : 4,775.19 = 2,142.42 : x
  2. Step 2: Convert to fraction form
    3,185.01/4,775.19 = 2,142.42/x
  3. Step 3: Cross multiply
    3,185.01x = 4,775.19 × 2,142.42
  4. Step 4: Simplify right side
    3,185.01x = 10,230,462.56
  5. Step 5: Solve for x
    x = 10,230,462.56/3,185.01
  6. Step 6: Final answer
    x = 3,212.07

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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.