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Finding the Fourth Proportional to 4,408.65, 6,083.87 and 2,419.22

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Solution

The fourth proportional to 4,408.65, 6,083.87 and 2,419.22 is: 3,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.65 : 6,083.87 = 2,419.22 : x
  2. Step 2: Convert to fraction form
    4,408.65/6,083.87 = 2,419.22/x
  3. Step 3: Cross multiply
    4,408.65x = 6,083.87 × 2,419.22
  4. Step 4: Simplify right side
    4,408.65x = 14,718,223.09
  5. Step 5: Solve for x
    x = 14,718,223.09/4,408.65
  6. Step 6: Final answer
    x = 3,338.49

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