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Finding the Fourth Proportional to 5,814.16, 8,023.52 and 3,161.52

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Solution

The fourth proportional to 5,814.16, 8,023.52 and 3,161.52 is: 4,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.16 : 8,023.52 = 3,161.52 : x
  2. Step 2: Convert to fraction form
    5,814.16/8,023.52 = 3,161.52/x
  3. Step 3: Cross multiply
    5,814.16x = 8,023.52 × 3,161.52
  4. Step 4: Simplify right side
    5,814.16x = 25,366,518.95
  5. Step 5: Solve for x
    x = 25,366,518.95/5,814.16
  6. Step 6: Final answer
    x = 4,362.89

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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.