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Finding the Fourth Proportional to 4,409.64, 6,614.10 and 1,635.03

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Solution

The fourth proportional to 4,409.64, 6,614.10 and 1,635.03 is: 2,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.64 : 6,614.10 = 1,635.03 : x
  2. Step 2: Convert to fraction form
    4,409.64/6,614.10 = 1,635.03/x
  3. Step 3: Cross multiply
    4,409.64x = 6,614.10 × 1,635.03
  4. Step 4: Simplify right side
    4,409.64x = 10,814,251.92
  5. Step 5: Solve for x
    x = 10,814,251.92/4,409.64
  6. Step 6: Final answer
    x = 2,452.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.