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Finding the Fourth Proportional to 3,634.74, 5,455.22 and 1,445.01

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Solution

The fourth proportional to 3,634.74, 5,455.22 and 1,445.01 is: 2,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.74 : 5,455.22 = 1,445.01 : x
  2. Step 2: Convert to fraction form
    3,634.74/5,455.22 = 1,445.01/x
  3. Step 3: Cross multiply
    3,634.74x = 5,455.22 × 1,445.01
  4. Step 4: Simplify right side
    3,634.74x = 7,882,819.77
  5. Step 5: Solve for x
    x = 7,882,819.77/3,634.74
  6. Step 6: Final answer
    x = 2,168.74

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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.