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Finding the Fourth Proportional to 3,427.82, 5,141.32 and 894.75

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Solution

The fourth proportional to 3,427.82, 5,141.32 and 894.75 is: 1,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.82 : 5,141.32 = 894.75 : x
  2. Step 2: Convert to fraction form
    3,427.82/5,141.32 = 894.75/x
  3. Step 3: Cross multiply
    3,427.82x = 5,141.32 × 894.75
  4. Step 4: Simplify right side
    3,427.82x = 4,600,179.59
  5. Step 5: Solve for x
    x = 4,600,179.59/3,427.82
  6. Step 6: Final answer
    x = 1,342.01

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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.