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Finding the Fourth Proportional to 3,791.84, 5,687.20 and 1,326.48

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Solution

The fourth proportional to 3,791.84, 5,687.20 and 1,326.48 is: 1,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.84 : 5,687.20 = 1,326.48 : x
  2. Step 2: Convert to fraction form
    3,791.84/5,687.20 = 1,326.48/x
  3. Step 3: Cross multiply
    3,791.84x = 5,687.20 × 1,326.48
  4. Step 4: Simplify right side
    3,791.84x = 7,543,957.06
  5. Step 5: Solve for x
    x = 7,543,957.06/3,791.84
  6. Step 6: Final answer
    x = 1,989.52

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1.5x scale

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.