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Finding the Fourth Proportional to 3,876.15, 5,344.48 and 3,165.38

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Solution

The fourth proportional to 3,876.15, 5,344.48 and 3,165.38 is: 4,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.15 : 5,344.48 = 3,165.38 : x
  2. Step 2: Convert to fraction form
    3,876.15/5,344.48 = 3,165.38/x
  3. Step 3: Cross multiply
    3,876.15x = 5,344.48 × 3,165.38
  4. Step 4: Simplify right side
    3,876.15x = 16,917,307.38
  5. Step 5: Solve for x
    x = 16,917,307.38/3,876.15
  6. Step 6: Final answer
    x = 4,364.46

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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.