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Finding the Fourth Proportional to 4,096.64, 5,651.75 and 2,522.00

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Solution

The fourth proportional to 4,096.64, 5,651.75 and 2,522.00 is: 3,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.64 : 5,651.75 = 2,522.00 : x
  2. Step 2: Convert to fraction form
    4,096.64/5,651.75 = 2,522.00/x
  3. Step 3: Cross multiply
    4,096.64x = 5,651.75 × 2,522.00
  4. Step 4: Simplify right side
    4,096.64x = 14,253,672.63
  5. Step 5: Solve for x
    x = 14,253,672.63/4,096.64
  6. Step 6: Final answer
    x = 3,479.36

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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.