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Finding the Fourth Proportional to 3,427.56, 5,141.28 and 1,119

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Solution

The fourth proportional to 3,427.56, 5,141.28 and 1,119 is: 1,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.56 : 5,141.28 = 1,119 : x
  2. Step 2: Convert to fraction form
    3,427.56/5,141.28 = 1,119/x
  3. Step 3: Cross multiply
    3,427.56x = 5,141.28 × 1,119
  4. Step 4: Simplify right side
    3,427.56x = 5,753,092.32
  5. Step 5: Solve for x
    x = 5,753,092.32/3,427.56
  6. Step 6: Final answer
    x = 1,678.48

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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.