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Finding the Fourth Proportional to 5,566.91, 7,682.45 and 3,049.13

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Solution

The fourth proportional to 5,566.91, 7,682.45 and 3,049.13 is: 4,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.91 : 7,682.45 = 3,049.13 : x
  2. Step 2: Convert to fraction form
    5,566.91/7,682.45 = 3,049.13/x
  3. Step 3: Cross multiply
    5,566.91x = 7,682.45 × 3,049.13
  4. Step 4: Simplify right side
    5,566.91x = 23,424,735.11
  5. Step 5: Solve for x
    x = 23,424,735.11/5,566.91
  6. Step 6: Final answer
    x = 4,207.86

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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.