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Finding the Fourth Proportional to 5,144.08, 7,696.98 and 3,065.21

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Solution

The fourth proportional to 5,144.08, 7,696.98 and 3,065.21 is: 4,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.08 : 7,696.98 = 3,065.21 : x
  2. Step 2: Convert to fraction form
    5,144.08/7,696.98 = 3,065.21/x
  3. Step 3: Cross multiply
    5,144.08x = 7,696.98 × 3,065.21
  4. Step 4: Simplify right side
    5,144.08x = 23,592,879.31
  5. Step 5: Solve for x
    x = 23,592,879.31/5,144.08
  6. Step 6: Final answer
    x = 4,586.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.