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Finding the Fourth Proportional to 5,416.86, 8,122.04 and 2,296.38

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Solution

The fourth proportional to 5,416.86, 8,122.04 and 2,296.38 is: 3,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.86 : 8,122.04 = 2,296.38 : x
  2. Step 2: Convert to fraction form
    5,416.86/8,122.04 = 2,296.38/x
  3. Step 3: Cross multiply
    5,416.86x = 8,122.04 × 2,296.38
  4. Step 4: Simplify right side
    5,416.86x = 18,651,290.22
  5. Step 5: Solve for x
    x = 18,651,290.22/5,416.86
  6. Step 6: Final answer
    x = 3,443.19

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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.