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Finding the Fourth Proportional to 5,796, 8,693.52 and 2,873.28

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Solution

The fourth proportional to 5,796, 8,693.52 and 2,873.28 is: 4,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 8,693.52 = 2,873.28 : x
  2. Step 2: Convert to fraction form
    5,796/8,693.52 = 2,873.28/x
  3. Step 3: Cross multiply
    5,796x = 8,693.52 × 2,873.28
  4. Step 4: Simplify right side
    5,796x = 24,978,917.15
  5. Step 5: Solve for x
    x = 24,978,917.15/5,796
  6. Step 6: Final answer
    x = 4,309.68

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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.