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Finding the Fourth Proportional to 3,588.55, 5,379.58 and 3,199.75

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Solution

The fourth proportional to 3,588.55, 5,379.58 and 3,199.75 is: 4,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.55 : 5,379.58 = 3,199.75 : x
  2. Step 2: Convert to fraction form
    3,588.55/5,379.58 = 3,199.75/x
  3. Step 3: Cross multiply
    3,588.55x = 5,379.58 × 3,199.75
  4. Step 4: Simplify right side
    3,588.55x = 17,213,311.11
  5. Step 5: Solve for x
    x = 17,213,311.11/3,588.55
  6. Step 6: Final answer
    x = 4,796.73

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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.