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Finding the Fourth Proportional to 3,408, 4,704.48 and 2,166.72

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Solution

The fourth proportional to 3,408, 4,704.48 and 2,166.72 is: 2,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 4,704.48 = 2,166.72 : x
  2. Step 2: Convert to fraction form
    3,408/4,704.48 = 2,166.72/x
  3. Step 3: Cross multiply
    3,408x = 4,704.48 × 2,166.72
  4. Step 4: Simplify right side
    3,408x = 10,193,290.91
  5. Step 5: Solve for x
    x = 10,193,290.91/3,408
  6. Step 6: Final answer
    x = 2,990.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.