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Finding the Fourth Proportional to 5,814.60, 8,023.22 and 3,825.96

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Solution

The fourth proportional to 5,814.60, 8,023.22 and 3,825.96 is: 5,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.60 : 8,023.22 = 3,825.96 : x
  2. Step 2: Convert to fraction form
    5,814.60/8,023.22 = 3,825.96/x
  3. Step 3: Cross multiply
    5,814.60x = 8,023.22 × 3,825.96
  4. Step 4: Simplify right side
    5,814.60x = 30,696,518.79
  5. Step 5: Solve for x
    x = 30,696,518.79/5,814.60
  6. Step 6: Final answer
    x = 5,279.21

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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.