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Finding the Fourth Proportional to 5,589.72, 7,712.75 and 3,798.62

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Solution

The fourth proportional to 5,589.72, 7,712.75 and 3,798.62 is: 5,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.72 : 7,712.75 = 3,798.62 : x
  2. Step 2: Convert to fraction form
    5,589.72/7,712.75 = 3,798.62/x
  3. Step 3: Cross multiply
    5,589.72x = 7,712.75 × 3,798.62
  4. Step 4: Simplify right side
    5,589.72x = 29,297,748.85
  5. Step 5: Solve for x
    x = 29,297,748.85/5,589.72
  6. Step 6: Final answer
    x = 5,241.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.