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Finding the Fourth Proportional to 5,814.86, 8,024.00 and 3,296.36

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Solution

The fourth proportional to 5,814.86, 8,024.00 and 3,296.36 is: 4,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.86 : 8,024.00 = 3,296.36 : x
  2. Step 2: Convert to fraction form
    5,814.86/8,024.00 = 3,296.36/x
  3. Step 3: Cross multiply
    5,814.86x = 8,024.00 × 3,296.36
  4. Step 4: Simplify right side
    5,814.86x = 26,449,996.22
  5. Step 5: Solve for x
    x = 26,449,996.22/5,814.86
  6. Step 6: Final answer
    x = 4,548.69

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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.