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Finding the Fourth Proportional to 3,954.52, 5,932.67 and 1,357.30

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Solution

The fourth proportional to 3,954.52, 5,932.67 and 1,357.30 is: 2,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.52 : 5,932.67 = 1,357.30 : x
  2. Step 2: Convert to fraction form
    3,954.52/5,932.67 = 1,357.30/x
  3. Step 3: Cross multiply
    3,954.52x = 5,932.67 × 1,357.30
  4. Step 4: Simplify right side
    3,954.52x = 8,052,412.99
  5. Step 5: Solve for x
    x = 8,052,412.99/3,954.52
  6. Step 6: Final answer
    x = 2,036.26

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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.