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Finding the Fourth Proportional to 4,800.76, 7,201.14 and 1,338.01

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Solution

The fourth proportional to 4,800.76, 7,201.14 and 1,338.01 is: 2,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.76 : 7,201.14 = 1,338.01 : x
  2. Step 2: Convert to fraction form
    4,800.76/7,201.14 = 1,338.01/x
  3. Step 3: Cross multiply
    4,800.76x = 7,201.14 × 1,338.01
  4. Step 4: Simplify right side
    4,800.76x = 9,635,190.64
  5. Step 5: Solve for x
    x = 9,635,190.64/4,800.76
  6. Step 6: Final answer
    x = 2,007.01

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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.