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Finding the Fourth Proportional to 4,944.26, 7,416.41 and 1,657.37

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Solution

The fourth proportional to 4,944.26, 7,416.41 and 1,657.37 is: 2,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.26 : 7,416.41 = 1,657.37 : x
  2. Step 2: Convert to fraction form
    4,944.26/7,416.41 = 1,657.37/x
  3. Step 3: Cross multiply
    4,944.26x = 7,416.41 × 1,657.37
  4. Step 4: Simplify right side
    4,944.26x = 12,291,745.70
  5. Step 5: Solve for x
    x = 12,291,745.70/4,944.26
  6. Step 6: Final answer
    x = 2,486.06

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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.