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Finding the Fourth Proportional to 4,408.56, 6,083.75 and 2,419.15

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Solution

The fourth proportional to 4,408.56, 6,083.75 and 2,419.15 is: 3,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.56 : 6,083.75 = 2,419.15 : x
  2. Step 2: Convert to fraction form
    4,408.56/6,083.75 = 2,419.15/x
  3. Step 3: Cross multiply
    4,408.56x = 6,083.75 × 2,419.15
  4. Step 4: Simplify right side
    4,408.56x = 14,717,503.81
  5. Step 5: Solve for x
    x = 14,717,503.81/4,408.56
  6. Step 6: Final answer
    x = 3,338.39

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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.