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Finding the Fourth Proportional to 3,678.39, 5,072.27 and 2,419.35

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Solution

The fourth proportional to 3,678.39, 5,072.27 and 2,419.35 is: 3,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.39 : 5,072.27 = 2,419.35 : x
  2. Step 2: Convert to fraction form
    3,678.39/5,072.27 = 2,419.35/x
  3. Step 3: Cross multiply
    3,678.39x = 5,072.27 × 2,419.35
  4. Step 4: Simplify right side
    3,678.39x = 12,271,584.33
  5. Step 5: Solve for x
    x = 12,271,584.33/3,678.39
  6. Step 6: Final answer
    x = 3,336.13

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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.