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Finding the Fourth Proportional to 3,881.57, 5,354.15 and 2,368.44

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Solution

The fourth proportional to 3,881.57, 5,354.15 and 2,368.44 is: 3,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.57 : 5,354.15 = 2,368.44 : x
  2. Step 2: Convert to fraction form
    3,881.57/5,354.15 = 2,368.44/x
  3. Step 3: Cross multiply
    3,881.57x = 5,354.15 × 2,368.44
  4. Step 4: Simplify right side
    3,881.57x = 12,680,983.03
  5. Step 5: Solve for x
    x = 12,680,983.03/3,881.57
  6. Step 6: Final answer
    x = 3,266.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.