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Finding the Fourth Proportional to 4,324.56, 5,967 and 2,752.08

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Solution

The fourth proportional to 4,324.56, 5,967 and 2,752.08 is: 3,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.56 : 5,967 = 2,752.08 : x
  2. Step 2: Convert to fraction form
    4,324.56/5,967 = 2,752.08/x
  3. Step 3: Cross multiply
    4,324.56x = 5,967 × 2,752.08
  4. Step 4: Simplify right side
    4,324.56x = 16,421,661.36
  5. Step 5: Solve for x
    x = 16,421,661.36/4,324.56
  6. Step 6: Final answer
    x = 3,797.30

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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.