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Finding the Fourth Proportional to 4,928.97, 7,393.41 and 1,231.17

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Solution

The fourth proportional to 4,928.97, 7,393.41 and 1,231.17 is: 1,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.97 : 7,393.41 = 1,231.17 : x
  2. Step 2: Convert to fraction form
    4,928.97/7,393.41 = 1,231.17/x
  3. Step 3: Cross multiply
    4,928.97x = 7,393.41 × 1,231.17
  4. Step 4: Simplify right side
    4,928.97x = 9,102,538.43
  5. Step 5: Solve for x
    x = 9,102,538.43/4,928.97
  6. Step 6: Final answer
    x = 1,846.74

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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.