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Finding the Fourth Proportional to 5,852.85, 8,076.93 and 3,200.26

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Solution

The fourth proportional to 5,852.85, 8,076.93 and 3,200.26 is: 4,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.85 : 8,076.93 = 3,200.26 : x
  2. Step 2: Convert to fraction form
    5,852.85/8,076.93 = 3,200.26/x
  3. Step 3: Cross multiply
    5,852.85x = 8,076.93 × 3,200.26
  4. Step 4: Simplify right side
    5,852.85x = 25,848,276.00
  5. Step 5: Solve for x
    x = 25,848,276.00/5,852.85
  6. Step 6: Final answer
    x = 4,416.36

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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.