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Finding the Fourth Proportional to 3,419.98, 5,129.97 and 2,447.98

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Solution

The fourth proportional to 3,419.98, 5,129.97 and 2,447.98 is: 3,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.98 : 5,129.97 = 2,447.98 : x
  2. Step 2: Convert to fraction form
    3,419.98/5,129.97 = 2,447.98/x
  3. Step 3: Cross multiply
    3,419.98x = 5,129.97 × 2,447.98
  4. Step 4: Simplify right side
    3,419.98x = 12,558,063.96
  5. Step 5: Solve for x
    x = 12,558,063.96/3,419.98
  6. Step 6: Final answer
    x = 3,671.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.