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Finding the Fourth Proportional to 5,177.41, 7,769.72 and 2,254.21

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Solution

The fourth proportional to 5,177.41, 7,769.72 and 2,254.21 is: 3,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.41 : 7,769.72 = 2,254.21 : x
  2. Step 2: Convert to fraction form
    5,177.41/7,769.72 = 2,254.21/x
  3. Step 3: Cross multiply
    5,177.41x = 7,769.72 × 2,254.21
  4. Step 4: Simplify right side
    5,177.41x = 17,514,580.52
  5. Step 5: Solve for x
    x = 17,514,580.52/5,177.41
  6. Step 6: Final answer
    x = 3,382.88

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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.