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Finding the Fourth Proportional to 5,971.93, 8,239.08 and 3,613.21

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Solution

The fourth proportional to 5,971.93, 8,239.08 and 3,613.21 is: 4,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.93 : 8,239.08 = 3,613.21 : x
  2. Step 2: Convert to fraction form
    5,971.93/8,239.08 = 3,613.21/x
  3. Step 3: Cross multiply
    5,971.93x = 8,239.08 × 3,613.21
  4. Step 4: Simplify right side
    5,971.93x = 29,769,526.25
  5. Step 5: Solve for x
    x = 29,769,526.25/5,971.93
  6. Step 6: Final answer
    x = 4,984.91

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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.