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Finding the Fourth Proportional to 5,797.56, 8,695.60 and 1,637.88

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Solution

The fourth proportional to 5,797.56, 8,695.60 and 1,637.88 is: 2,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.56 : 8,695.60 = 1,637.88 : x
  2. Step 2: Convert to fraction form
    5,797.56/8,695.60 = 1,637.88/x
  3. Step 3: Cross multiply
    5,797.56x = 8,695.60 × 1,637.88
  4. Step 4: Simplify right side
    5,797.56x = 14,242,349.33
  5. Step 5: Solve for x
    x = 14,242,349.33/5,797.56
  6. Step 6: Final answer
    x = 2,456.61

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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.