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Finding the Fourth Proportional to 8,322.22, 12,481.76 and 3,579.22

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Solution

The fourth proportional to 8,322.22, 12,481.76 and 3,579.22 is: 5,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.22 : 12,481.76 = 3,579.22 : x
  2. Step 2: Convert to fraction form
    8,322.22/12,481.76 = 3,579.22/x
  3. Step 3: Cross multiply
    8,322.22x = 12,481.76 × 3,579.22
  4. Step 4: Simplify right side
    8,322.22x = 44,674,965.03
  5. Step 5: Solve for x
    x = 44,674,965.03/8,322.22
  6. Step 6: Final answer
    x = 5,368.15

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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.