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Finding the Fourth Proportional to 6,003.82, 8,283.94 and 3,484.46

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Solution

The fourth proportional to 6,003.82, 8,283.94 and 3,484.46 is: 4,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.82 : 8,283.94 = 3,484.46 : x
  2. Step 2: Convert to fraction form
    6,003.82/8,283.94 = 3,484.46/x
  3. Step 3: Cross multiply
    6,003.82x = 8,283.94 × 3,484.46
  4. Step 4: Simplify right side
    6,003.82x = 28,865,057.57
  5. Step 5: Solve for x
    x = 28,865,057.57/6,003.82
  6. Step 6: Final answer
    x = 4,807.78

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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.