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Finding the Fourth Proportional to 3,451.36, 5,177.20 and 986.54

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Solution

The fourth proportional to 3,451.36, 5,177.20 and 986.54 is: 1,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.36 : 5,177.20 = 986.54 : x
  2. Step 2: Convert to fraction form
    3,451.36/5,177.20 = 986.54/x
  3. Step 3: Cross multiply
    3,451.36x = 5,177.20 × 986.54
  4. Step 4: Simplify right side
    3,451.36x = 5,107,514.89
  5. Step 5: Solve for x
    x = 5,107,514.89/3,451.36
  6. Step 6: Final answer
    x = 1,479.86

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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.