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Finding the Fourth Proportional to 5,246.84, 7,901.31 and 3,796.16

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Solution

The fourth proportional to 5,246.84, 7,901.31 and 3,796.16 is: 5,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.84 : 7,901.31 = 3,796.16 : x
  2. Step 2: Convert to fraction form
    5,246.84/7,901.31 = 3,796.16/x
  3. Step 3: Cross multiply
    5,246.84x = 7,901.31 × 3,796.16
  4. Step 4: Simplify right side
    5,246.84x = 29,994,636.97
  5. Step 5: Solve for x
    x = 29,994,636.97/5,246.84
  6. Step 6: Final answer
    x = 5,716.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.