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Finding the Fourth Proportional to 3,835.44, 5,292.68 and 2,156.88

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Solution

The fourth proportional to 3,835.44, 5,292.68 and 2,156.88 is: 2,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.44 : 5,292.68 = 2,156.88 : x
  2. Step 2: Convert to fraction form
    3,835.44/5,292.68 = 2,156.88/x
  3. Step 3: Cross multiply
    3,835.44x = 5,292.68 × 2,156.88
  4. Step 4: Simplify right side
    3,835.44x = 11,415,675.64
  5. Step 5: Solve for x
    x = 11,415,675.64/3,835.44
  6. Step 6: Final answer
    x = 2,976.37

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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.