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Finding the Fourth Proportional to 4,768.00, 7,152.03 and 1,481.02

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Solution

The fourth proportional to 4,768.00, 7,152.03 and 1,481.02 is: 2,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.00 : 7,152.03 = 1,481.02 : x
  2. Step 2: Convert to fraction form
    4,768.00/7,152.03 = 1,481.02/x
  3. Step 3: Cross multiply
    4,768.00x = 7,152.03 × 1,481.02
  4. Step 4: Simplify right side
    4,768.00x = 10,592,281.59
  5. Step 5: Solve for x
    x = 10,592,281.59/4,768.00
  6. Step 6: Final answer
    x = 2,221.54

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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.