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Finding the Fourth Proportional to 5,668.13, 7,820.82 and 3,309.21

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Solution

The fourth proportional to 5,668.13, 7,820.82 and 3,309.21 is: 4,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.13 : 7,820.82 = 3,309.21 : x
  2. Step 2: Convert to fraction form
    5,668.13/7,820.82 = 3,309.21/x
  3. Step 3: Cross multiply
    5,668.13x = 7,820.82 × 3,309.21
  4. Step 4: Simplify right side
    5,668.13x = 25,880,735.75
  5. Step 5: Solve for x
    x = 25,880,735.75/5,668.13
  6. Step 6: Final answer
    x = 4,566.01

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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.