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Finding the Fourth Proportional to 6,322.72, 8,725.20 and 3,670.24

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Solution

The fourth proportional to 6,322.72, 8,725.20 and 3,670.24 is: 5,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.72 : 8,725.20 = 3,670.24 : x
  2. Step 2: Convert to fraction form
    6,322.72/8,725.20 = 3,670.24/x
  3. Step 3: Cross multiply
    6,322.72x = 8,725.20 × 3,670.24
  4. Step 4: Simplify right side
    6,322.72x = 32,023,578.05
  5. Step 5: Solve for x
    x = 32,023,578.05/6,322.72
  6. Step 6: Final answer
    x = 5,064.84

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