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Finding the Fourth Proportional to 3,371.44, 5,057.84 and 1,423.64

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Solution

The fourth proportional to 3,371.44, 5,057.84 and 1,423.64 is: 2,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.44 : 5,057.84 = 1,423.64 : x
  2. Step 2: Convert to fraction form
    3,371.44/5,057.84 = 1,423.64/x
  3. Step 3: Cross multiply
    3,371.44x = 5,057.84 × 1,423.64
  4. Step 4: Simplify right side
    3,371.44x = 7,200,543.34
  5. Step 5: Solve for x
    x = 7,200,543.34/3,371.44
  6. Step 6: Final answer
    x = 2,135.75

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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.