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Finding the Fourth Proportional to 3,778.32, 5,665.68 and 1,179.84

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Solution

The fourth proportional to 3,778.32, 5,665.68 and 1,179.84 is: 1,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.32 : 5,665.68 = 1,179.84 : x
  2. Step 2: Convert to fraction form
    3,778.32/5,665.68 = 1,179.84/x
  3. Step 3: Cross multiply
    3,778.32x = 5,665.68 × 1,179.84
  4. Step 4: Simplify right side
    3,778.32x = 6,684,595.89
  5. Step 5: Solve for x
    x = 6,684,595.89/3,778.32
  6. Step 6: Final answer
    x = 1,769.20

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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.