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Finding the Fourth Proportional to 4,472.82, 6,702.99 and 3,811.26

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Solution

The fourth proportional to 4,472.82, 6,702.99 and 3,811.26 is: 5,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.82 : 6,702.99 = 3,811.26 : x
  2. Step 2: Convert to fraction form
    4,472.82/6,702.99 = 3,811.26/x
  3. Step 3: Cross multiply
    4,472.82x = 6,702.99 × 3,811.26
  4. Step 4: Simplify right side
    4,472.82x = 25,546,837.67
  5. Step 5: Solve for x
    x = 25,546,837.67/4,472.82
  6. Step 6: Final answer
    x = 5,711.57

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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.