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Finding the Fourth Proportional to 5,685.14, 7,846.71 and 3,821.06

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Solution

The fourth proportional to 5,685.14, 7,846.71 and 3,821.06 is: 5,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.14 : 7,846.71 = 3,821.06 : x
  2. Step 2: Convert to fraction form
    5,685.14/7,846.71 = 3,821.06/x
  3. Step 3: Cross multiply
    5,685.14x = 7,846.71 × 3,821.06
  4. Step 4: Simplify right side
    5,685.14x = 29,982,749.71
  5. Step 5: Solve for x
    x = 29,982,749.71/5,685.14
  6. Step 6: Final answer
    x = 5,273.88

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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.