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Finding the Fourth Proportional to 3,396.88, 4,689.84 and 2,609.44

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Solution

The fourth proportional to 3,396.88, 4,689.84 and 2,609.44 is: 3,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.88 : 4,689.84 = 2,609.44 : x
  2. Step 2: Convert to fraction form
    3,396.88/4,689.84 = 2,609.44/x
  3. Step 3: Cross multiply
    3,396.88x = 4,689.84 × 2,609.44
  4. Step 4: Simplify right side
    3,396.88x = 12,237,856.09
  5. Step 5: Solve for x
    x = 12,237,856.09/3,396.88
  6. Step 6: Final answer
    x = 3,602.68

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1.5x scale

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.