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Finding the Fourth Proportional to 3,859.67, 5,326.45 and 2,181.14

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Solution

The fourth proportional to 3,859.67, 5,326.45 and 2,181.14 is: 3,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.67 : 5,326.45 = 2,181.14 : x
  2. Step 2: Convert to fraction form
    3,859.67/5,326.45 = 2,181.14/x
  3. Step 3: Cross multiply
    3,859.67x = 5,326.45 × 2,181.14
  4. Step 4: Simplify right side
    3,859.67x = 11,617,733.15
  5. Step 5: Solve for x
    x = 11,617,733.15/3,859.67
  6. Step 6: Final answer
    x = 3,010.03

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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.