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Finding the Fourth Proportional to 6,259.25, 8,635.38 and 4,135.79

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Solution

The fourth proportional to 6,259.25, 8,635.38 and 4,135.79 is: 5,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.25 : 8,635.38 = 4,135.79 : x
  2. Step 2: Convert to fraction form
    6,259.25/8,635.38 = 4,135.79/x
  3. Step 3: Cross multiply
    6,259.25x = 8,635.38 × 4,135.79
  4. Step 4: Simplify right side
    6,259.25x = 35,714,118.25
  5. Step 5: Solve for x
    x = 35,714,118.25/6,259.25
  6. Step 6: Final answer
    x = 5,705.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.