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Finding the Fourth Proportional to 5,415.54, 8,121.92 and 2,128.65

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Solution

The fourth proportional to 5,415.54, 8,121.92 and 2,128.65 is: 3,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.54 : 8,121.92 = 2,128.65 : x
  2. Step 2: Convert to fraction form
    5,415.54/8,121.92 = 2,128.65/x
  3. Step 3: Cross multiply
    5,415.54x = 8,121.92 × 2,128.65
  4. Step 4: Simplify right side
    5,415.54x = 17,288,714.36
  5. Step 5: Solve for x
    x = 17,288,714.36/5,415.54
  6. Step 6: Final answer
    x = 3,192.43

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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.