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Finding the Fourth Proportional to 3,427.79, 5,141.84 and 962.85

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Solution

The fourth proportional to 3,427.79, 5,141.84 and 962.85 is: 1,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.79 : 5,141.84 = 962.85 : x
  2. Step 2: Convert to fraction form
    3,427.79/5,141.84 = 962.85/x
  3. Step 3: Cross multiply
    3,427.79x = 5,141.84 × 962.85
  4. Step 4: Simplify right side
    3,427.79x = 4,950,823.05
  5. Step 5: Solve for x
    x = 4,950,823.05/3,427.79
  6. Step 6: Final answer
    x = 1,444.32

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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.