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Finding the Fourth Proportional to 3,754, 5,179.56 and 2,182

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Solution

The fourth proportional to 3,754, 5,179.56 and 2,182 is: 3,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754 : 5,179.56 = 2,182 : x
  2. Step 2: Convert to fraction form
    3,754/5,179.56 = 2,182/x
  3. Step 3: Cross multiply
    3,754x = 5,179.56 × 2,182
  4. Step 4: Simplify right side
    3,754x = 11,301,799.92
  5. Step 5: Solve for x
    x = 11,301,799.92/3,754
  6. Step 6: Final answer
    x = 3,010.60

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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.