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Finding the Fourth Proportional to 3,800.84, 5,245.44 and 2,309.18

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Solution

The fourth proportional to 3,800.84, 5,245.44 and 2,309.18 is: 3,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.84 : 5,245.44 = 2,309.18 : x
  2. Step 2: Convert to fraction form
    3,800.84/5,245.44 = 2,309.18/x
  3. Step 3: Cross multiply
    3,800.84x = 5,245.44 × 2,309.18
  4. Step 4: Simplify right side
    3,800.84x = 12,112,665.14
  5. Step 5: Solve for x
    x = 12,112,665.14/3,800.84
  6. Step 6: Final answer
    x = 3,186.84

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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.