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Finding the Fourth Proportional to 3,564.52, 4,919.88 and 2,167

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Solution

The fourth proportional to 3,564.52, 4,919.88 and 2,167 is: 2,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.52 : 4,919.88 = 2,167 : x
  2. Step 2: Convert to fraction form
    3,564.52/4,919.88 = 2,167/x
  3. Step 3: Cross multiply
    3,564.52x = 4,919.88 × 2,167
  4. Step 4: Simplify right side
    3,564.52x = 10,661,379.96
  5. Step 5: Solve for x
    x = 10,661,379.96/3,564.52
  6. Step 6: Final answer
    x = 2,990.97

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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.