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Finding the Fourth Proportional to 5,957.80, 8,936.70 and 3,776.20

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Solution

The fourth proportional to 5,957.80, 8,936.70 and 3,776.20 is: 5,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.80 : 8,936.70 = 3,776.20 : x
  2. Step 2: Convert to fraction form
    5,957.80/8,936.70 = 3,776.20/x
  3. Step 3: Cross multiply
    5,957.80x = 8,936.70 × 3,776.20
  4. Step 4: Simplify right side
    5,957.80x = 33,746,766.54
  5. Step 5: Solve for x
    x = 33,746,766.54/5,957.80
  6. Step 6: Final answer
    x = 5,664.30

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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.