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Finding the Fourth Proportional to 3,859.76, 5,326.63 and 2,181.38

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Solution

The fourth proportional to 3,859.76, 5,326.63 and 2,181.38 is: 3,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.76 : 5,326.63 = 2,181.38 : x
  2. Step 2: Convert to fraction form
    3,859.76/5,326.63 = 2,181.38/x
  3. Step 3: Cross multiply
    3,859.76x = 5,326.63 × 2,181.38
  4. Step 4: Simplify right side
    3,859.76x = 11,619,372.06
  5. Step 5: Solve for x
    x = 11,619,372.06/3,859.76
  6. Step 6: Final answer
    x = 3,010.39

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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.