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Finding the Fourth Proportional to 5,912.40, 8,157.64 and 3,814

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Solution

The fourth proportional to 5,912.40, 8,157.64 and 3,814 is: 5,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.40 : 8,157.64 = 3,814 : x
  2. Step 2: Convert to fraction form
    5,912.40/8,157.64 = 3,814/x
  3. Step 3: Cross multiply
    5,912.40x = 8,157.64 × 3,814
  4. Step 4: Simplify right side
    5,912.40x = 31,113,238.96
  5. Step 5: Solve for x
    x = 31,113,238.96/5,912.40
  6. Step 6: Final answer
    x = 5,262.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.