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Finding the Fourth Proportional to 5,004.50, 7,519.06 and 3,768.16

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Solution

The fourth proportional to 5,004.50, 7,519.06 and 3,768.16 is: 5,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.50 : 7,519.06 = 3,768.16 : x
  2. Step 2: Convert to fraction form
    5,004.50/7,519.06 = 3,768.16/x
  3. Step 3: Cross multiply
    5,004.50x = 7,519.06 × 3,768.16
  4. Step 4: Simplify right side
    5,004.50x = 28,333,021.13
  5. Step 5: Solve for x
    x = 28,333,021.13/5,004.50
  6. Step 6: Final answer
    x = 5,661.51

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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.