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Finding the Fourth Proportional to 5,549.44, 7,658.22 and 3,065.44

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Solution

The fourth proportional to 5,549.44, 7,658.22 and 3,065.44 is: 4,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.44 : 7,658.22 = 3,065.44 : x
  2. Step 2: Convert to fraction form
    5,549.44/7,658.22 = 3,065.44/x
  3. Step 3: Cross multiply
    5,549.44x = 7,658.22 × 3,065.44
  4. Step 4: Simplify right side
    5,549.44x = 23,475,813.92
  5. Step 5: Solve for x
    x = 23,475,813.92/5,549.44
  6. Step 6: Final answer
    x = 4,230.30

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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.