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Finding the Fourth Proportional to 5,778.72, 8,652.96 and 3,178.08

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Solution

The fourth proportional to 5,778.72, 8,652.96 and 3,178.08 is: 4,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.72 : 8,652.96 = 3,178.08 : x
  2. Step 2: Convert to fraction form
    5,778.72/8,652.96 = 3,178.08/x
  3. Step 3: Cross multiply
    5,778.72x = 8,652.96 × 3,178.08
  4. Step 4: Simplify right side
    5,778.72x = 27,499,799.12
  5. Step 5: Solve for x
    x = 27,499,799.12/5,778.72
  6. Step 6: Final answer
    x = 4,758.80

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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.