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Finding the Fourth Proportional to 4,918.96, 7,379.35 and 1,408.82

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Solution

The fourth proportional to 4,918.96, 7,379.35 and 1,408.82 is: 2,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.96 : 7,379.35 = 1,408.82 : x
  2. Step 2: Convert to fraction form
    4,918.96/7,379.35 = 1,408.82/x
  3. Step 3: Cross multiply
    4,918.96x = 7,379.35 × 1,408.82
  4. Step 4: Simplify right side
    4,918.96x = 10,396,175.87
  5. Step 5: Solve for x
    x = 10,396,175.87/4,918.96
  6. Step 6: Final answer
    x = 2,113.49

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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.