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Finding the Fourth Proportional to 3,835.57, 5,293.28 and 2,157.25

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Solution

The fourth proportional to 3,835.57, 5,293.28 and 2,157.25 is: 2,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.57 : 5,293.28 = 2,157.25 : x
  2. Step 2: Convert to fraction form
    3,835.57/5,293.28 = 2,157.25/x
  3. Step 3: Cross multiply
    3,835.57x = 5,293.28 × 2,157.25
  4. Step 4: Simplify right side
    3,835.57x = 11,418,891.03
  5. Step 5: Solve for x
    x = 11,418,891.03/3,835.57
  6. Step 6: Final answer
    x = 2,977.11

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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.