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Finding the Fourth Proportional to 5,178.72, 7,771.40 and 2,406.68

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Solution

The fourth proportional to 5,178.72, 7,771.40 and 2,406.68 is: 3,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.72 : 7,771.40 = 2,406.68 : x
  2. Step 2: Convert to fraction form
    5,178.72/7,771.40 = 2,406.68/x
  3. Step 3: Cross multiply
    5,178.72x = 7,771.40 × 2,406.68
  4. Step 4: Simplify right side
    5,178.72x = 18,703,272.95
  5. Step 5: Solve for x
    x = 18,703,272.95/5,178.72
  6. Step 6: Final answer
    x = 3,611.56

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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.