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Finding the Fourth Proportional to 3,679.14, 5,506.39 and 3,021

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Solution

The fourth proportional to 3,679.14, 5,506.39 and 3,021 is: 4,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.14 : 5,506.39 = 3,021 : x
  2. Step 2: Convert to fraction form
    3,679.14/5,506.39 = 3,021/x
  3. Step 3: Cross multiply
    3,679.14x = 5,506.39 × 3,021
  4. Step 4: Simplify right side
    3,679.14x = 16,634,804.19
  5. Step 5: Solve for x
    x = 16,634,804.19/3,679.14
  6. Step 6: Final answer
    x = 4,521.38

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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.