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Finding the Fourth Proportional to 3,716.62, 5,577.10 and 1,408.30

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Solution

The fourth proportional to 3,716.62, 5,577.10 and 1,408.30 is: 2,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.62 : 5,577.10 = 1,408.30 : x
  2. Step 2: Convert to fraction form
    3,716.62/5,577.10 = 1,408.30/x
  3. Step 3: Cross multiply
    3,716.62x = 5,577.10 × 1,408.30
  4. Step 4: Simplify right side
    3,716.62x = 7,854,229.93
  5. Step 5: Solve for x
    x = 7,854,229.93/3,716.62
  6. Step 6: Final answer
    x = 2,113.27

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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.