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Finding the Fourth Proportional to 3,954.33, 5,930.96 and 1,032.48

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Solution

The fourth proportional to 3,954.33, 5,930.96 and 1,032.48 is: 1,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.33 : 5,930.96 = 1,032.48 : x
  2. Step 2: Convert to fraction form
    3,954.33/5,930.96 = 1,032.48/x
  3. Step 3: Cross multiply
    3,954.33x = 5,930.96 × 1,032.48
  4. Step 4: Simplify right side
    3,954.33x = 6,123,592.42
  5. Step 5: Solve for x
    x = 6,123,592.42/3,954.33
  6. Step 6: Final answer
    x = 1,548.58

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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.