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Finding the Fourth Proportional to 3,874.54, 5,346.90 and 2,106.16

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Solution

The fourth proportional to 3,874.54, 5,346.90 and 2,106.16 is: 2,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.54 : 5,346.90 = 2,106.16 : x
  2. Step 2: Convert to fraction form
    3,874.54/5,346.90 = 2,106.16/x
  3. Step 3: Cross multiply
    3,874.54x = 5,346.90 × 2,106.16
  4. Step 4: Simplify right side
    3,874.54x = 11,261,426.90
  5. Step 5: Solve for x
    x = 11,261,426.90/3,874.54
  6. Step 6: Final answer
    x = 2,906.52

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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.