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Finding the Fourth Proportional to 4,974.88, 7,461.36 and 1,896.16

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Solution

The fourth proportional to 4,974.88, 7,461.36 and 1,896.16 is: 2,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.88 : 7,461.36 = 1,896.16 : x
  2. Step 2: Convert to fraction form
    4,974.88/7,461.36 = 1,896.16/x
  3. Step 3: Cross multiply
    4,974.88x = 7,461.36 × 1,896.16
  4. Step 4: Simplify right side
    4,974.88x = 14,147,932.38
  5. Step 5: Solve for x
    x = 14,147,932.38/4,974.88
  6. Step 6: Final answer
    x = 2,843.87

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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.