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Finding the Fourth Proportional to 3,397.60, 5,091.54 and 3,222.64

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Solution

The fourth proportional to 3,397.60, 5,091.54 and 3,222.64 is: 4,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.60 : 5,091.54 = 3,222.64 : x
  2. Step 2: Convert to fraction form
    3,397.60/5,091.54 = 3,222.64/x
  3. Step 3: Cross multiply
    3,397.60x = 5,091.54 × 3,222.64
  4. Step 4: Simplify right side
    3,397.60x = 16,408,200.47
  5. Step 5: Solve for x
    x = 16,408,200.47/3,397.60
  6. Step 6: Final answer
    x = 4,829.35

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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.