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Finding the Fourth Proportional to 5,847.50, 8,067.12 and 3,830.34

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Solution

The fourth proportional to 5,847.50, 8,067.12 and 3,830.34 is: 5,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.50 : 8,067.12 = 3,830.34 : x
  2. Step 2: Convert to fraction form
    5,847.50/8,067.12 = 3,830.34/x
  3. Step 3: Cross multiply
    5,847.50x = 8,067.12 × 3,830.34
  4. Step 4: Simplify right side
    5,847.50x = 30,899,812.42
  5. Step 5: Solve for x
    x = 30,899,812.42/5,847.50
  6. Step 6: Final answer
    x = 5,284.28

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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.