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Finding the Fourth Proportional to 3,884.69, 5,360.85 and 2,116.29

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Solution

The fourth proportional to 3,884.69, 5,360.85 and 2,116.29 is: 2,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.69 : 5,360.85 = 2,116.29 : x
  2. Step 2: Convert to fraction form
    3,884.69/5,360.85 = 2,116.29/x
  3. Step 3: Cross multiply
    3,884.69x = 5,360.85 × 2,116.29
  4. Step 4: Simplify right side
    3,884.69x = 11,345,133.35
  5. Step 5: Solve for x
    x = 11,345,133.35/3,884.69
  6. Step 6: Final answer
    x = 2,920.47

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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.