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Finding the Fourth Proportional to 6,059.84, 8,367.60 and 3,825.44

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Solution

The fourth proportional to 6,059.84, 8,367.60 and 3,825.44 is: 5,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.84 : 8,367.60 = 3,825.44 : x
  2. Step 2: Convert to fraction form
    6,059.84/8,367.60 = 3,825.44/x
  3. Step 3: Cross multiply
    6,059.84x = 8,367.60 × 3,825.44
  4. Step 4: Simplify right side
    6,059.84x = 32,009,751.74
  5. Step 5: Solve for x
    x = 32,009,751.74/6,059.84
  6. Step 6: Final answer
    x = 5,282.28

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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.