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Finding the Fourth Proportional to 5,852.86, 8,076.84 and 3,200.26

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Solution

The fourth proportional to 5,852.86, 8,076.84 and 3,200.26 is: 4,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.86 : 8,076.84 = 3,200.26 : x
  2. Step 2: Convert to fraction form
    5,852.86/8,076.84 = 3,200.26/x
  3. Step 3: Cross multiply
    5,852.86x = 8,076.84 × 3,200.26
  4. Step 4: Simplify right side
    5,852.86x = 25,847,987.98
  5. Step 5: Solve for x
    x = 25,847,987.98/5,852.86
  6. Step 6: Final answer
    x = 4,416.30

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