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Finding the Fourth Proportional to 3,957.84, 5,938.14 and 1,766.36

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Solution

The fourth proportional to 3,957.84, 5,938.14 and 1,766.36 is: 2,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.84 : 5,938.14 = 1,766.36 : x
  2. Step 2: Convert to fraction form
    3,957.84/5,938.14 = 1,766.36/x
  3. Step 3: Cross multiply
    3,957.84x = 5,938.14 × 1,766.36
  4. Step 4: Simplify right side
    3,957.84x = 10,488,892.97
  5. Step 5: Solve for x
    x = 10,488,892.97/3,957.84
  6. Step 6: Final answer
    x = 2,650.16

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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.