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Finding the Fourth Proportional to 3,478.01, 5,213.36 and 1,627.63

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Solution

The fourth proportional to 3,478.01, 5,213.36 and 1,627.63 is: 2,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.01 : 5,213.36 = 1,627.63 : x
  2. Step 2: Convert to fraction form
    3,478.01/5,213.36 = 1,627.63/x
  3. Step 3: Cross multiply
    3,478.01x = 5,213.36 × 1,627.63
  4. Step 4: Simplify right side
    3,478.01x = 8,485,412.17
  5. Step 5: Solve for x
    x = 8,485,412.17/3,478.01
  6. Step 6: Final answer
    x = 2,439.74

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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.