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Finding the Fourth Proportional to 3,801.75, 5,246.42 and 2,145.75

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Solution

The fourth proportional to 3,801.75, 5,246.42 and 2,145.75 is: 2,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.75 : 5,246.42 = 2,145.75 : x
  2. Step 2: Convert to fraction form
    3,801.75/5,246.42 = 2,145.75/x
  3. Step 3: Cross multiply
    3,801.75x = 5,246.42 × 2,145.75
  4. Step 4: Simplify right side
    3,801.75x = 11,257,494.99
  5. Step 5: Solve for x
    x = 11,257,494.99/3,801.75
  6. Step 6: Final answer
    x = 2,961.14

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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.