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Finding the Fourth Proportional to 5,538.52, 8,311.02 and 2,076.04

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Solution

The fourth proportional to 5,538.52, 8,311.02 and 2,076.04 is: 3,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.52 : 8,311.02 = 2,076.04 : x
  2. Step 2: Convert to fraction form
    5,538.52/8,311.02 = 2,076.04/x
  3. Step 3: Cross multiply
    5,538.52x = 8,311.02 × 2,076.04
  4. Step 4: Simplify right side
    5,538.52x = 17,254,009.96
  5. Step 5: Solve for x
    x = 17,254,009.96/5,538.52
  6. Step 6: Final answer
    x = 3,115.27

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Why These Related Problems?

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