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Finding the Fourth Proportional to 4,972.44, 7,456.25 and 2,893.05

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Solution

The fourth proportional to 4,972.44, 7,456.25 and 2,893.05 is: 4,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.44 : 7,456.25 = 2,893.05 : x
  2. Step 2: Convert to fraction form
    4,972.44/7,456.25 = 2,893.05/x
  3. Step 3: Cross multiply
    4,972.44x = 7,456.25 × 2,893.05
  4. Step 4: Simplify right side
    4,972.44x = 21,571,289.60
  5. Step 5: Solve for x
    x = 21,571,289.60/4,972.44
  6. Step 6: Final answer
    x = 4,338.17

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1.5x scale

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.