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Finding the Fourth Proportional to 3,408, 5,113.20 and 1,677.84

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Solution

The fourth proportional to 3,408, 5,113.20 and 1,677.84 is: 2,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 5,113.20 = 1,677.84 : x
  2. Step 2: Convert to fraction form
    3,408/5,113.20 = 1,677.84/x
  3. Step 3: Cross multiply
    3,408x = 5,113.20 × 1,677.84
  4. Step 4: Simplify right side
    3,408x = 8,579,131.49
  5. Step 5: Solve for x
    x = 8,579,131.49/3,408
  6. Step 6: Final answer
    x = 2,517.35

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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.