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Finding the Fourth Proportional to 3,802.97, 5,676.93 and 3,286.29

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Solution

The fourth proportional to 3,802.97, 5,676.93 and 3,286.29 is: 4,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.97 : 5,676.93 = 3,286.29 : x
  2. Step 2: Convert to fraction form
    3,802.97/5,676.93 = 3,286.29/x
  3. Step 3: Cross multiply
    3,802.97x = 5,676.93 × 3,286.29
  4. Step 4: Simplify right side
    3,802.97x = 18,656,038.29
  5. Step 5: Solve for x
    x = 18,656,038.29/3,802.97
  6. Step 6: Final answer
    x = 4,905.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.