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Finding the Fourth Proportional to 5,259.27, 7,884.98 and 3,178.80

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Solution

The fourth proportional to 5,259.27, 7,884.98 and 3,178.80 is: 4,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.27 : 7,884.98 = 3,178.80 : x
  2. Step 2: Convert to fraction form
    5,259.27/7,884.98 = 3,178.80/x
  3. Step 3: Cross multiply
    5,259.27x = 7,884.98 × 3,178.80
  4. Step 4: Simplify right side
    5,259.27x = 25,064,774.42
  5. Step 5: Solve for x
    x = 25,064,774.42/5,259.27
  6. Step 6: Final answer
    x = 4,765.83

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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.