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Finding the Fourth Proportional to 3,427.94, 5,141.91 and 962.75

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Solution

The fourth proportional to 3,427.94, 5,141.91 and 962.75 is: 1,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.94 : 5,141.91 = 962.75 : x
  2. Step 2: Convert to fraction form
    3,427.94/5,141.91 = 962.75/x
  3. Step 3: Cross multiply
    3,427.94x = 5,141.91 × 962.75
  4. Step 4: Simplify right side
    3,427.94x = 4,950,373.85
  5. Step 5: Solve for x
    x = 4,950,373.85/3,427.94
  6. Step 6: Final answer
    x = 1,444.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.