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Finding the Fourth Proportional to 4,847.54, 7,273.47 and 2,538.50

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Solution

The fourth proportional to 4,847.54, 7,273.47 and 2,538.50 is: 3,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.54 : 7,273.47 = 2,538.50 : x
  2. Step 2: Convert to fraction form
    4,847.54/7,273.47 = 2,538.50/x
  3. Step 3: Cross multiply
    4,847.54x = 7,273.47 × 2,538.50
  4. Step 4: Simplify right side
    4,847.54x = 18,463,703.60
  5. Step 5: Solve for x
    x = 18,463,703.60/4,847.54
  6. Step 6: Final answer
    x = 3,808.88

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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.