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Finding the Fourth Proportional to 3,957.42, 5,933.19 and 1,323.37

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Solution

The fourth proportional to 3,957.42, 5,933.19 and 1,323.37 is: 1,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.42 : 5,933.19 = 1,323.37 : x
  2. Step 2: Convert to fraction form
    3,957.42/5,933.19 = 1,323.37/x
  3. Step 3: Cross multiply
    3,957.42x = 5,933.19 × 1,323.37
  4. Step 4: Simplify right side
    3,957.42x = 7,851,799.03
  5. Step 5: Solve for x
    x = 7,851,799.03/3,957.42
  6. Step 6: Final answer
    x = 1,984.07

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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.