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Finding the Fourth Proportional to 6,512.25, 8,986.44 and 3,994.46

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Solution

The fourth proportional to 6,512.25, 8,986.44 and 3,994.46 is: 5,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.25 : 8,986.44 = 3,994.46 : x
  2. Step 2: Convert to fraction form
    6,512.25/8,986.44 = 3,994.46/x
  3. Step 3: Cross multiply
    6,512.25x = 8,986.44 × 3,994.46
  4. Step 4: Simplify right side
    6,512.25x = 35,896,029.42
  5. Step 5: Solve for x
    x = 35,896,029.42/6,512.25
  6. Step 6: Final answer
    x = 5,512.08

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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.