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Finding the Fourth Proportional to 6,467.28, 8,924.54 and 3,953.60

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Solution

The fourth proportional to 6,467.28, 8,924.54 and 3,953.60 is: 5,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.28 : 8,924.54 = 3,953.60 : x
  2. Step 2: Convert to fraction form
    6,467.28/8,924.54 = 3,953.60/x
  3. Step 3: Cross multiply
    6,467.28x = 8,924.54 × 3,953.60
  4. Step 4: Simplify right side
    6,467.28x = 35,284,061.34
  5. Step 5: Solve for x
    x = 35,284,061.34/6,467.28
  6. Step 6: Final answer
    x = 5,455.78

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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.