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Finding the Fourth Proportional to 3,427.72, 5,141.88 and 962.56

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Solution

The fourth proportional to 3,427.72, 5,141.88 and 962.56 is: 1,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.72 : 5,141.88 = 962.56 : x
  2. Step 2: Convert to fraction form
    3,427.72/5,141.88 = 962.56/x
  3. Step 3: Cross multiply
    3,427.72x = 5,141.88 × 962.56
  4. Step 4: Simplify right side
    3,427.72x = 4,949,368.01
  5. Step 5: Solve for x
    x = 4,949,368.01/3,427.72
  6. Step 6: Final answer
    x = 1,443.92

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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.