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Finding the Fourth Proportional to 3,447.96, 4,752.05 and 2,814.41

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Solution

The fourth proportional to 3,447.96, 4,752.05 and 2,814.41 is: 3,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.96 : 4,752.05 = 2,814.41 : x
  2. Step 2: Convert to fraction form
    3,447.96/4,752.05 = 2,814.41/x
  3. Step 3: Cross multiply
    3,447.96x = 4,752.05 × 2,814.41
  4. Step 4: Simplify right side
    3,447.96x = 13,374,179.21
  5. Step 5: Solve for x
    x = 13,374,179.21/3,447.96
  6. Step 6: Final answer
    x = 3,878.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.