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Finding the Fourth Proportional to 3,952.68, 5,929.02 and 1,179.35

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Solution

The fourth proportional to 3,952.68, 5,929.02 and 1,179.35 is: 1,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.68 : 5,929.02 = 1,179.35 : x
  2. Step 2: Convert to fraction form
    3,952.68/5,929.02 = 1,179.35/x
  3. Step 3: Cross multiply
    3,952.68x = 5,929.02 × 1,179.35
  4. Step 4: Simplify right side
    3,952.68x = 6,992,360.09
  5. Step 5: Solve for x
    x = 6,992,360.09/3,952.68
  6. Step 6: Final answer
    x = 1,769.02

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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.