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Finding the Fourth Proportional to 5,613.34, 8,422.86 and 3,980.38

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Solution

The fourth proportional to 5,613.34, 8,422.86 and 3,980.38 is: 5,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.34 : 8,422.86 = 3,980.38 : x
  2. Step 2: Convert to fraction form
    5,613.34/8,422.86 = 3,980.38/x
  3. Step 3: Cross multiply
    5,613.34x = 8,422.86 × 3,980.38
  4. Step 4: Simplify right side
    5,613.34x = 33,526,183.49
  5. Step 5: Solve for x
    x = 33,526,183.49/5,613.34
  6. Step 6: Final answer
    x = 5,972.59

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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.