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Finding the Fourth Proportional to 4,408.42, 6,083.54 and 2,419

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Solution

The fourth proportional to 4,408.42, 6,083.54 and 2,419 is: 3,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.42 : 6,083.54 = 2,419 : x
  2. Step 2: Convert to fraction form
    4,408.42/6,083.54 = 2,419/x
  3. Step 3: Cross multiply
    4,408.42x = 6,083.54 × 2,419
  4. Step 4: Simplify right side
    4,408.42x = 14,716,083.26
  5. Step 5: Solve for x
    x = 14,716,083.26/4,408.42
  6. Step 6: Final answer
    x = 3,338.18

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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.