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Finding the Fourth Proportional to 3,892.74, 5,372.71 and 2,438.19

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Solution

The fourth proportional to 3,892.74, 5,372.71 and 2,438.19 is: 3,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.74 : 5,372.71 = 2,438.19 : x
  2. Step 2: Convert to fraction form
    3,892.74/5,372.71 = 2,438.19/x
  3. Step 3: Cross multiply
    3,892.74x = 5,372.71 × 2,438.19
  4. Step 4: Simplify right side
    3,892.74x = 13,099,684.13
  5. Step 5: Solve for x
    x = 13,099,684.13/3,892.74
  6. Step 6: Final answer
    x = 3,365.16

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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.