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Finding the Fourth Proportional to 5,958.86, 8,221.32 and 3,440.63

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Solution

The fourth proportional to 5,958.86, 8,221.32 and 3,440.63 is: 4,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.86 : 8,221.32 = 3,440.63 : x
  2. Step 2: Convert to fraction form
    5,958.86/8,221.32 = 3,440.63/x
  3. Step 3: Cross multiply
    5,958.86x = 8,221.32 × 3,440.63
  4. Step 4: Simplify right side
    5,958.86x = 28,286,520.23
  5. Step 5: Solve for x
    x = 28,286,520.23/5,958.86
  6. Step 6: Final answer
    x = 4,746.97

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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.