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Finding the Fourth Proportional to 3,848.56, 5,311 and 2,169.97

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Solution

The fourth proportional to 3,848.56, 5,311 and 2,169.97 is: 2,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.56 : 5,311 = 2,169.97 : x
  2. Step 2: Convert to fraction form
    3,848.56/5,311 = 2,169.97/x
  3. Step 3: Cross multiply
    3,848.56x = 5,311 × 2,169.97
  4. Step 4: Simplify right side
    3,848.56x = 11,524,710.67
  5. Step 5: Solve for x
    x = 11,524,710.67/3,848.56
  6. Step 6: Final answer
    x = 2,994.55

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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.