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Finding the Fourth Proportional to 5,884.07, 8,114.60 and 3,998.48

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Solution

The fourth proportional to 5,884.07, 8,114.60 and 3,998.48 is: 5,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.07 : 8,114.60 = 3,998.48 : x
  2. Step 2: Convert to fraction form
    5,884.07/8,114.60 = 3,998.48/x
  3. Step 3: Cross multiply
    5,884.07x = 8,114.60 × 3,998.48
  4. Step 4: Simplify right side
    5,884.07x = 32,446,065.81
  5. Step 5: Solve for x
    x = 32,446,065.81/5,884.07
  6. Step 6: Final answer
    x = 5,514.22

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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.