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Finding the Fourth Proportional to 3,942.76, 5,440.04 and 2,598.22

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Solution

The fourth proportional to 3,942.76, 5,440.04 and 2,598.22 is: 3,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.76 : 5,440.04 = 2,598.22 : x
  2. Step 2: Convert to fraction form
    3,942.76/5,440.04 = 2,598.22/x
  3. Step 3: Cross multiply
    3,942.76x = 5,440.04 × 2,598.22
  4. Step 4: Simplify right side
    3,942.76x = 14,134,380.54
  5. Step 5: Solve for x
    x = 14,134,380.54/3,942.76
  6. Step 6: Final answer
    x = 3,584.90

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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.