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Finding the Fourth Proportional to 3,709.62, 5,114.34 and 2,448.54

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Solution

The fourth proportional to 3,709.62, 5,114.34 and 2,448.54 is: 3,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.62 : 5,114.34 = 2,448.54 : x
  2. Step 2: Convert to fraction form
    3,709.62/5,114.34 = 2,448.54/x
  3. Step 3: Cross multiply
    3,709.62x = 5,114.34 × 2,448.54
  4. Step 4: Simplify right side
    3,709.62x = 12,522,666.06
  5. Step 5: Solve for x
    x = 12,522,666.06/3,709.62
  6. Step 6: Final answer
    x = 3,375.73

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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.