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Finding the Fourth Proportional to 3,911.80, 5,865.78 and 1,935.15

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Solution

The fourth proportional to 3,911.80, 5,865.78 and 1,935.15 is: 2,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.80 : 5,865.78 = 1,935.15 : x
  2. Step 2: Convert to fraction form
    3,911.80/5,865.78 = 1,935.15/x
  3. Step 3: Cross multiply
    3,911.80x = 5,865.78 × 1,935.15
  4. Step 4: Simplify right side
    3,911.80x = 11,351,164.17
  5. Step 5: Solve for x
    x = 11,351,164.17/3,911.80
  6. Step 6: Final answer
    x = 2,901.78

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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.