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Finding the Fourth Proportional to 3,483.10, 5,224.41 and 1,634.63

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Solution

The fourth proportional to 3,483.10, 5,224.41 and 1,634.63 is: 2,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.10 : 5,224.41 = 1,634.63 : x
  2. Step 2: Convert to fraction form
    3,483.10/5,224.41 = 1,634.63/x
  3. Step 3: Cross multiply
    3,483.10x = 5,224.41 × 1,634.63
  4. Step 4: Simplify right side
    3,483.10x = 8,539,977.32
  5. Step 5: Solve for x
    x = 8,539,977.32/3,483.10
  6. Step 6: Final answer
    x = 2,451.83

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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.