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Finding the Fourth Proportional to 3,961.52, 5,942.52 and 2,316.80

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Solution

The fourth proportional to 3,961.52, 5,942.52 and 2,316.80 is: 3,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.52 : 5,942.52 = 2,316.80 : x
  2. Step 2: Convert to fraction form
    3,961.52/5,942.52 = 2,316.80/x
  3. Step 3: Cross multiply
    3,961.52x = 5,942.52 × 2,316.80
  4. Step 4: Simplify right side
    3,961.52x = 13,767,630.34
  5. Step 5: Solve for x
    x = 13,767,630.34/3,961.52
  6. Step 6: Final answer
    x = 3,475.34

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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.