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Finding the Fourth Proportional to 4,408.77, 6,083.77 and 2,419.27

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Solution

The fourth proportional to 4,408.77, 6,083.77 and 2,419.27 is: 3,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.77 : 6,083.77 = 2,419.27 : x
  2. Step 2: Convert to fraction form
    4,408.77/6,083.77 = 2,419.27/x
  3. Step 3: Cross multiply
    4,408.77x = 6,083.77 × 2,419.27
  4. Step 4: Simplify right side
    4,408.77x = 14,718,282.25
  5. Step 5: Solve for x
    x = 14,718,282.25/4,408.77
  6. Step 6: Final answer
    x = 3,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.