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Finding the Fourth Proportional to 4,974.64, 7,461.56 and 2,893.31

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Solution

The fourth proportional to 4,974.64, 7,461.56 and 2,893.31 is: 4,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.64 : 7,461.56 = 2,893.31 : x
  2. Step 2: Convert to fraction form
    4,974.64/7,461.56 = 2,893.31/x
  3. Step 3: Cross multiply
    4,974.64x = 7,461.56 × 2,893.31
  4. Step 4: Simplify right side
    4,974.64x = 21,588,606.16
  5. Step 5: Solve for x
    x = 21,588,606.16/4,974.64
  6. Step 6: Final answer
    x = 4,339.73

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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.