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Finding the Fourth Proportional to 3,885, 5,827.54 and 2,157.26

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Solution

The fourth proportional to 3,885, 5,827.54 and 2,157.26 is: 3,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885 : 5,827.54 = 2,157.26 : x
  2. Step 2: Convert to fraction form
    3,885/5,827.54 = 2,157.26/x
  3. Step 3: Cross multiply
    3,885x = 5,827.54 × 2,157.26
  4. Step 4: Simplify right side
    3,885x = 12,571,518.94
  5. Step 5: Solve for x
    x = 12,571,518.94/3,885
  6. Step 6: Final answer
    x = 3,235.91

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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.