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Finding the Fourth Proportional to 3,427.58, 5,141.57 and 962.21

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Solution

The fourth proportional to 3,427.58, 5,141.57 and 962.21 is: 1,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.58 : 5,141.57 = 962.21 : x
  2. Step 2: Convert to fraction form
    3,427.58/5,141.57 = 962.21/x
  3. Step 3: Cross multiply
    3,427.58x = 5,141.57 × 962.21
  4. Step 4: Simplify right side
    3,427.58x = 4,947,278.11
  5. Step 5: Solve for x
    x = 4,947,278.11/3,427.58
  6. Step 6: Final answer
    x = 1,443.37

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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.