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Finding the Fourth Proportional to 3,408.96, 5,112.51 and 943.19

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Solution

The fourth proportional to 3,408.96, 5,112.51 and 943.19 is: 1,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.96 : 5,112.51 = 943.19 : x
  2. Step 2: Convert to fraction form
    3,408.96/5,112.51 = 943.19/x
  3. Step 3: Cross multiply
    3,408.96x = 5,112.51 × 943.19
  4. Step 4: Simplify right side
    3,408.96x = 4,822,068.31
  5. Step 5: Solve for x
    x = 4,822,068.31/3,408.96
  6. Step 6: Final answer
    x = 1,414.53

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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.