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Finding the Fourth Proportional to 5,796.52, 8,693.46 and 1,636.96

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Solution

The fourth proportional to 5,796.52, 8,693.46 and 1,636.96 is: 2,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.52 : 8,693.46 = 1,636.96 : x
  2. Step 2: Convert to fraction form
    5,796.52/8,693.46 = 1,636.96/x
  3. Step 3: Cross multiply
    5,796.52x = 8,693.46 × 1,636.96
  4. Step 4: Simplify right side
    5,796.52x = 14,230,846.28
  5. Step 5: Solve for x
    x = 14,230,846.28/5,796.52
  6. Step 6: Final answer
    x = 2,455.07

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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.