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Finding the Fourth Proportional to 5,626.26, 7,769.93 and 4,514.54

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Solution

The fourth proportional to 5,626.26, 7,769.93 and 4,514.54 is: 6,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.26 : 7,769.93 = 4,514.54 : x
  2. Step 2: Convert to fraction form
    5,626.26/7,769.93 = 4,514.54/x
  3. Step 3: Cross multiply
    5,626.26x = 7,769.93 × 4,514.54
  4. Step 4: Simplify right side
    5,626.26x = 35,077,598.36
  5. Step 5: Solve for x
    x = 35,077,598.36/5,626.26
  6. Step 6: Final answer
    x = 6,234.62

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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.