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Finding the Fourth Proportional to 3,952.02, 5,928.33 and 1,178.48

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Solution

The fourth proportional to 3,952.02, 5,928.33 and 1,178.48 is: 1,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.02 : 5,928.33 = 1,178.48 : x
  2. Step 2: Convert to fraction form
    3,952.02/5,928.33 = 1,178.48/x
  3. Step 3: Cross multiply
    3,952.02x = 5,928.33 × 1,178.48
  4. Step 4: Simplify right side
    3,952.02x = 6,986,418.34
  5. Step 5: Solve for x
    x = 6,986,418.34/3,952.02
  6. Step 6: Final answer
    x = 1,767.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.