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Finding the Fourth Proportional to 5,862.30, 8,788.14 and 2,162

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Solution

The fourth proportional to 5,862.30, 8,788.14 and 2,162 is: 3,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.30 : 8,788.14 = 2,162 : x
  2. Step 2: Convert to fraction form
    5,862.30/8,788.14 = 2,162/x
  3. Step 3: Cross multiply
    5,862.30x = 8,788.14 × 2,162
  4. Step 4: Simplify right side
    5,862.30x = 18,999,958.68
  5. Step 5: Solve for x
    x = 18,999,958.68/5,862.30
  6. Step 6: Final answer
    x = 3,241.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.