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Finding the Fourth Proportional to 3,408.93, 5,113.28 and 943.90

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Solution

The fourth proportional to 3,408.93, 5,113.28 and 943.90 is: 1,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.93 : 5,113.28 = 943.90 : x
  2. Step 2: Convert to fraction form
    3,408.93/5,113.28 = 943.90/x
  3. Step 3: Cross multiply
    3,408.93x = 5,113.28 × 943.90
  4. Step 4: Simplify right side
    3,408.93x = 4,826,414.57
  5. Step 5: Solve for x
    x = 4,826,414.57/3,408.93
  6. Step 6: Final answer
    x = 1,415.82

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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.