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Finding the Fourth Proportional to 3,957.78, 5,462.70 and 2,467.43

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Solution

The fourth proportional to 3,957.78, 5,462.70 and 2,467.43 is: 3,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.78 : 5,462.70 = 2,467.43 : x
  2. Step 2: Convert to fraction form
    3,957.78/5,462.70 = 2,467.43/x
  3. Step 3: Cross multiply
    3,957.78x = 5,462.70 × 2,467.43
  4. Step 4: Simplify right side
    3,957.78x = 13,478,817.52
  5. Step 5: Solve for x
    x = 13,478,817.52/3,957.78
  6. Step 6: Final answer
    x = 3,405.65

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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.