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Finding the Fourth Proportional to 4,408.92, 6,084.47 and 2,419.54

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Solution

The fourth proportional to 4,408.92, 6,084.47 and 2,419.54 is: 3,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.92 : 6,084.47 = 2,419.54 : x
  2. Step 2: Convert to fraction form
    4,408.92/6,084.47 = 2,419.54/x
  3. Step 3: Cross multiply
    4,408.92x = 6,084.47 × 2,419.54
  4. Step 4: Simplify right side
    4,408.92x = 14,721,609.38
  5. Step 5: Solve for x
    x = 14,721,609.38/4,408.92
  6. Step 6: Final answer
    x = 3,339.05

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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.