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Finding the Fourth Proportional to 5,899.30, 8,143.59 and 3,906.34

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Solution

The fourth proportional to 5,899.30, 8,143.59 and 3,906.34 is: 5,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.30 : 8,143.59 = 3,906.34 : x
  2. Step 2: Convert to fraction form
    5,899.30/8,143.59 = 3,906.34/x
  3. Step 3: Cross multiply
    5,899.30x = 8,143.59 × 3,906.34
  4. Step 4: Simplify right side
    5,899.30x = 31,811,631.36
  5. Step 5: Solve for x
    x = 31,811,631.36/5,899.30
  6. Step 6: Final answer
    x = 5,392.44

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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.