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Finding the Fourth Proportional to 6,006.24, 8,288.16 and 3,768

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Solution

The fourth proportional to 6,006.24, 8,288.16 and 3,768 is: 5,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.24 : 8,288.16 = 3,768 : x
  2. Step 2: Convert to fraction form
    6,006.24/8,288.16 = 3,768/x
  3. Step 3: Cross multiply
    6,006.24x = 8,288.16 × 3,768
  4. Step 4: Simplify right side
    6,006.24x = 31,229,786.88
  5. Step 5: Solve for x
    x = 31,229,786.88/6,006.24
  6. Step 6: Final answer
    x = 5,199.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.