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Finding the Fourth Proportional to 4,408.64, 6,613.04 and 3,584.88

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Solution

The fourth proportional to 4,408.64, 6,613.04 and 3,584.88 is: 5,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.64 : 6,613.04 = 3,584.88 : x
  2. Step 2: Convert to fraction form
    4,408.64/6,613.04 = 3,584.88/x
  3. Step 3: Cross multiply
    4,408.64x = 6,613.04 × 3,584.88
  4. Step 4: Simplify right side
    4,408.64x = 23,706,954.84
  5. Step 5: Solve for x
    x = 23,706,954.84/4,408.64
  6. Step 6: Final answer
    x = 5,377.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.