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Finding the Fourth Proportional to 3,936.54, 5,855.19 and 3,585.90

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Solution

The fourth proportional to 3,936.54, 5,855.19 and 3,585.90 is: 5,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.54 : 5,855.19 = 3,585.90 : x
  2. Step 2: Convert to fraction form
    3,936.54/5,855.19 = 3,585.90/x
  3. Step 3: Cross multiply
    3,936.54x = 5,855.19 × 3,585.90
  4. Step 4: Simplify right side
    3,936.54x = 20,996,125.82
  5. Step 5: Solve for x
    x = 20,996,125.82/3,936.54
  6. Step 6: Final answer
    x = 5,333.65

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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.