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Finding the Fourth Proportional to 3,867.82, 5,341.37 and 3,305

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Solution

The fourth proportional to 3,867.82, 5,341.37 and 3,305 is: 4,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.82 : 5,341.37 = 3,305 : x
  2. Step 2: Convert to fraction form
    3,867.82/5,341.37 = 3,305/x
  3. Step 3: Cross multiply
    3,867.82x = 5,341.37 × 3,305
  4. Step 4: Simplify right side
    3,867.82x = 17,653,227.85
  5. Step 5: Solve for x
    x = 17,653,227.85/3,867.82
  6. Step 6: Final answer
    x = 4,564.13

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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.