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Finding the Fourth Proportional to 3,957.48, 5,941.62 and 2,227.32

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Solution

The fourth proportional to 3,957.48, 5,941.62 and 2,227.32 is: 3,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.48 : 5,941.62 = 2,227.32 : x
  2. Step 2: Convert to fraction form
    3,957.48/5,941.62 = 2,227.32/x
  3. Step 3: Cross multiply
    3,957.48x = 5,941.62 × 2,227.32
  4. Step 4: Simplify right side
    3,957.48x = 13,233,889.06
  5. Step 5: Solve for x
    x = 13,233,889.06/3,957.48
  6. Step 6: Final answer
    x = 3,344.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.