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Finding the Fourth Proportional to 5,814.54, 8,024.07 and 3,161.96

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Solution

The fourth proportional to 5,814.54, 8,024.07 and 3,161.96 is: 4,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.54 : 8,024.07 = 3,161.96 : x
  2. Step 2: Convert to fraction form
    5,814.54/8,024.07 = 3,161.96/x
  3. Step 3: Cross multiply
    5,814.54x = 8,024.07 × 3,161.96
  4. Step 4: Simplify right side
    5,814.54x = 25,371,748.26
  5. Step 5: Solve for x
    x = 25,371,748.26/5,814.54
  6. Step 6: Final answer
    x = 4,363.50

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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.