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Finding the Fourth Proportional to 3,408.39, 5,113.02 and 1,217.34

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Solution

The fourth proportional to 3,408.39, 5,113.02 and 1,217.34 is: 1,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.39 : 5,113.02 = 1,217.34 : x
  2. Step 2: Convert to fraction form
    3,408.39/5,113.02 = 1,217.34/x
  3. Step 3: Cross multiply
    3,408.39x = 5,113.02 × 1,217.34
  4. Step 4: Simplify right side
    3,408.39x = 6,224,283.77
  5. Step 5: Solve for x
    x = 6,224,283.77/3,408.39
  6. Step 6: Final answer
    x = 1,826.17

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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.