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Finding the Fourth Proportional to 3,447.83, 5,171.76 and 2,349.47

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Solution

The fourth proportional to 3,447.83, 5,171.76 and 2,349.47 is: 3,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.83 : 5,171.76 = 2,349.47 : x
  2. Step 2: Convert to fraction form
    3,447.83/5,171.76 = 2,349.47/x
  3. Step 3: Cross multiply
    3,447.83x = 5,171.76 × 2,349.47
  4. Step 4: Simplify right side
    3,447.83x = 12,150,869.11
  5. Step 5: Solve for x
    x = 12,150,869.11/3,447.83
  6. Step 6: Final answer
    x = 3,524.21

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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.