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Finding the Fourth Proportional to 4,857.52, 7,286.76 and 1,935.14

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Solution

The fourth proportional to 4,857.52, 7,286.76 and 1,935.14 is: 2,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.52 : 7,286.76 = 1,935.14 : x
  2. Step 2: Convert to fraction form
    4,857.52/7,286.76 = 1,935.14/x
  3. Step 3: Cross multiply
    4,857.52x = 7,286.76 × 1,935.14
  4. Step 4: Simplify right side
    4,857.52x = 14,100,905.30
  5. Step 5: Solve for x
    x = 14,100,905.30/4,857.52
  6. Step 6: Final answer
    x = 2,902.90

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Why These Related Problems?

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