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Finding the Fourth Proportional to 3,679.83, 5,078.43 and 2,187.81

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Solution

The fourth proportional to 3,679.83, 5,078.43 and 2,187.81 is: 3,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.83 : 5,078.43 = 2,187.81 : x
  2. Step 2: Convert to fraction form
    3,679.83/5,078.43 = 2,187.81/x
  3. Step 3: Cross multiply
    3,679.83x = 5,078.43 × 2,187.81
  4. Step 4: Simplify right side
    3,679.83x = 11,110,639.94
  5. Step 5: Solve for x
    x = 11,110,639.94/3,679.83
  6. Step 6: Final answer
    x = 3,019.34

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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.