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Finding the Fourth Proportional to 5,852.97, 8,077.23 and 3,200.49

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Solution

The fourth proportional to 5,852.97, 8,077.23 and 3,200.49 is: 4,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.97 : 8,077.23 = 3,200.49 : x
  2. Step 2: Convert to fraction form
    5,852.97/8,077.23 = 3,200.49/x
  3. Step 3: Cross multiply
    5,852.97x = 8,077.23 × 3,200.49
  4. Step 4: Simplify right side
    5,852.97x = 25,851,093.84
  5. Step 5: Solve for x
    x = 25,851,093.84/5,852.97
  6. Step 6: Final answer
    x = 4,416.75

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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.