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Finding the Fourth Proportional to 3,702.92, 5,554.95 and 1,481.75

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Solution

The fourth proportional to 3,702.92, 5,554.95 and 1,481.75 is: 2,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.92 : 5,554.95 = 1,481.75 : x
  2. Step 2: Convert to fraction form
    3,702.92/5,554.95 = 1,481.75/x
  3. Step 3: Cross multiply
    3,702.92x = 5,554.95 × 1,481.75
  4. Step 4: Simplify right side
    3,702.92x = 8,231,019.39
  5. Step 5: Solve for x
    x = 8,231,019.39/3,702.92
  6. Step 6: Final answer
    x = 2,222.85

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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.