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Finding the Fourth Proportional to 3,951.60, 5,927.69 and 1,178.05

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Solution

The fourth proportional to 3,951.60, 5,927.69 and 1,178.05 is: 1,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.60 : 5,927.69 = 1,178.05 : x
  2. Step 2: Convert to fraction form
    3,951.60/5,927.69 = 1,178.05/x
  3. Step 3: Cross multiply
    3,951.60x = 5,927.69 × 1,178.05
  4. Step 4: Simplify right side
    3,951.60x = 6,983,115.20
  5. Step 5: Solve for x
    x = 6,983,115.20/3,951.60
  6. Step 6: Final answer
    x = 1,767.16

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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.