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Finding the Fourth Proportional to 3,780.39, 5,662.32 and 2,681.43

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Solution

The fourth proportional to 3,780.39, 5,662.32 and 2,681.43 is: 4,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.39 : 5,662.32 = 2,681.43 : x
  2. Step 2: Convert to fraction form
    3,780.39/5,662.32 = 2,681.43/x
  3. Step 3: Cross multiply
    3,780.39x = 5,662.32 × 2,681.43
  4. Step 4: Simplify right side
    3,780.39x = 15,183,114.72
  5. Step 5: Solve for x
    x = 15,183,114.72/3,780.39
  6. Step 6: Final answer
    x = 4,016.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.