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Finding the Fourth Proportional to 3,957.09, 5,935.62 and 1,492.46

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Solution

The fourth proportional to 3,957.09, 5,935.62 and 1,492.46 is: 2,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.09 : 5,935.62 = 1,492.46 : x
  2. Step 2: Convert to fraction form
    3,957.09/5,935.62 = 1,492.46/x
  3. Step 3: Cross multiply
    3,957.09x = 5,935.62 × 1,492.46
  4. Step 4: Simplify right side
    3,957.09x = 8,858,675.43
  5. Step 5: Solve for x
    x = 8,858,675.43/3,957.09
  6. Step 6: Final answer
    x = 2,238.68

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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.