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Finding the Fourth Proportional to 5,957.75, 8,222.06 and 3,440.32

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Solution

The fourth proportional to 5,957.75, 8,222.06 and 3,440.32 is: 4,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.75 : 8,222.06 = 3,440.32 : x
  2. Step 2: Convert to fraction form
    5,957.75/8,222.06 = 3,440.32/x
  3. Step 3: Cross multiply
    5,957.75x = 8,222.06 × 3,440.32
  4. Step 4: Simplify right side
    5,957.75x = 28,286,517.46
  5. Step 5: Solve for x
    x = 28,286,517.46/5,957.75
  6. Step 6: Final answer
    x = 4,747.85

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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.