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Finding the Fourth Proportional to 4,555.81, 6,835.24 and 1,634.34

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Solution

The fourth proportional to 4,555.81, 6,835.24 and 1,634.34 is: 2,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.81 : 6,835.24 = 1,634.34 : x
  2. Step 2: Convert to fraction form
    4,555.81/6,835.24 = 1,634.34/x
  3. Step 3: Cross multiply
    4,555.81x = 6,835.24 × 1,634.34
  4. Step 4: Simplify right side
    4,555.81x = 11,171,124.62
  5. Step 5: Solve for x
    x = 11,171,124.62/4,555.81
  6. Step 6: Final answer
    x = 2,452.06

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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.