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Finding the Fourth Proportional to 3,954.16, 5,929.56 and 1,179.84

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Solution

The fourth proportional to 3,954.16, 5,929.56 and 1,179.84 is: 1,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.16 : 5,929.56 = 1,179.84 : x
  2. Step 2: Convert to fraction form
    3,954.16/5,929.56 = 1,179.84/x
  3. Step 3: Cross multiply
    3,954.16x = 5,929.56 × 1,179.84
  4. Step 4: Simplify right side
    3,954.16x = 6,995,932.07
  5. Step 5: Solve for x
    x = 6,995,932.07/3,954.16
  6. Step 6: Final answer
    x = 1,769.26

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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.