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Finding the Fourth Proportional to 5,338.02, 8,007 and 2,052.12

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Solution

The fourth proportional to 5,338.02, 8,007 and 2,052.12 is: 3,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.02 : 8,007 = 2,052.12 : x
  2. Step 2: Convert to fraction form
    5,338.02/8,007 = 2,052.12/x
  3. Step 3: Cross multiply
    5,338.02x = 8,007 × 2,052.12
  4. Step 4: Simplify right side
    5,338.02x = 16,431,324.84
  5. Step 5: Solve for x
    x = 16,431,324.84/5,338.02
  6. Step 6: Final answer
    x = 3,078.17

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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.