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Finding the Fourth Proportional to 5,566.98, 7,682.33 and 3,209.22

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Solution

The fourth proportional to 5,566.98, 7,682.33 and 3,209.22 is: 4,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.98 : 7,682.33 = 3,209.22 : x
  2. Step 2: Convert to fraction form
    5,566.98/7,682.33 = 3,209.22/x
  3. Step 3: Cross multiply
    5,566.98x = 7,682.33 × 3,209.22
  4. Step 4: Simplify right side
    5,566.98x = 24,654,287.08
  5. Step 5: Solve for x
    x = 24,654,287.08/5,566.98
  6. Step 6: Final answer
    x = 4,428.66

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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.