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Finding the Fourth Proportional to 4,974.64, 7,456.92 and 3,127.06

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Solution

The fourth proportional to 4,974.64, 7,456.92 and 3,127.06 is: 4,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.64 : 7,456.92 = 3,127.06 : x
  2. Step 2: Convert to fraction form
    4,974.64/7,456.92 = 3,127.06/x
  3. Step 3: Cross multiply
    4,974.64x = 7,456.92 × 3,127.06
  4. Step 4: Simplify right side
    4,974.64x = 23,318,236.26
  5. Step 5: Solve for x
    x = 23,318,236.26/4,974.64
  6. Step 6: Final answer
    x = 4,687.42

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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.