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Finding the Fourth Proportional to 3,408.57, 5,113.44 and 1,329.70

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Solution

The fourth proportional to 3,408.57, 5,113.44 and 1,329.70 is: 1,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.57 : 5,113.44 = 1,329.70 : x
  2. Step 2: Convert to fraction form
    3,408.57/5,113.44 = 1,329.70/x
  3. Step 3: Cross multiply
    3,408.57x = 5,113.44 × 1,329.70
  4. Step 4: Simplify right side
    3,408.57x = 6,799,341.17
  5. Step 5: Solve for x
    x = 6,799,341.17/3,408.57
  6. Step 6: Final answer
    x = 1,994.78

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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.