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Finding the Fourth Proportional to 4,936.56, 7,404.30 and 1,473

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Solution

The fourth proportional to 4,936.56, 7,404.30 and 1,473 is: 2,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.56 : 7,404.30 = 1,473 : x
  2. Step 2: Convert to fraction form
    4,936.56/7,404.30 = 1,473/x
  3. Step 3: Cross multiply
    4,936.56x = 7,404.30 × 1,473
  4. Step 4: Simplify right side
    4,936.56x = 10,906,533.90
  5. Step 5: Solve for x
    x = 10,906,533.90/4,936.56
  6. Step 6: Final answer
    x = 2,209.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.