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Finding the Fourth Proportional to 3,434.63, 5,149.51 and 2,447.44

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Solution

The fourth proportional to 3,434.63, 5,149.51 and 2,447.44 is: 3,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.63 : 5,149.51 = 2,447.44 : x
  2. Step 2: Convert to fraction form
    3,434.63/5,149.51 = 2,447.44/x
  3. Step 3: Cross multiply
    3,434.63x = 5,149.51 × 2,447.44
  4. Step 4: Simplify right side
    3,434.63x = 12,603,097.76
  5. Step 5: Solve for x
    x = 12,603,097.76/3,434.63
  6. Step 6: Final answer
    x = 3,669.42

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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.