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Finding the Fourth Proportional to 3,942.84, 5,441.13 and 2,174.45

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Solution

The fourth proportional to 3,942.84, 5,441.13 and 2,174.45 is: 3,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.84 : 5,441.13 = 2,174.45 : x
  2. Step 2: Convert to fraction form
    3,942.84/5,441.13 = 2,174.45/x
  3. Step 3: Cross multiply
    3,942.84x = 5,441.13 × 2,174.45
  4. Step 4: Simplify right side
    3,942.84x = 11,831,437.92
  5. Step 5: Solve for x
    x = 11,831,437.92/3,942.84
  6. Step 6: Final answer
    x = 3,000.74

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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.