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Finding the Fourth Proportional to 4,857, 7,286.58 and 1,935.24

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Solution

The fourth proportional to 4,857, 7,286.58 and 1,935.24 is: 2,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 7,286.58 = 1,935.24 : x
  2. Step 2: Convert to fraction form
    4,857/7,286.58 = 1,935.24/x
  3. Step 3: Cross multiply
    4,857x = 7,286.58 × 1,935.24
  4. Step 4: Simplify right side
    4,857x = 14,101,281.08
  5. Step 5: Solve for x
    x = 14,101,281.08/4,857
  6. Step 6: Final answer
    x = 2,903.29

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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.