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Finding the Fourth Proportional to 5,827.68, 8,742.42 and 2,129.09

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Solution

The fourth proportional to 5,827.68, 8,742.42 and 2,129.09 is: 3,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.68 : 8,742.42 = 2,129.09 : x
  2. Step 2: Convert to fraction form
    5,827.68/8,742.42 = 2,129.09/x
  3. Step 3: Cross multiply
    5,827.68x = 8,742.42 × 2,129.09
  4. Step 4: Simplify right side
    5,827.68x = 18,613,355.29
  5. Step 5: Solve for x
    x = 18,613,355.29/5,827.68
  6. Step 6: Final answer
    x = 3,193.96

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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.