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Finding the Fourth Proportional to 5,957.82, 8,222.16 and 3,440.40

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Solution

The fourth proportional to 5,957.82, 8,222.16 and 3,440.40 is: 4,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.82 : 8,222.16 = 3,440.40 : x
  2. Step 2: Convert to fraction form
    5,957.82/8,222.16 = 3,440.40/x
  3. Step 3: Cross multiply
    5,957.82x = 8,222.16 × 3,440.40
  4. Step 4: Simplify right side
    5,957.82x = 28,287,519.26
  5. Step 5: Solve for x
    x = 28,287,519.26/5,957.82
  6. Step 6: Final answer
    x = 4,747.96

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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.