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Finding the Fourth Proportional to 3,630.96, 5,451.21 and 2,152.89

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Solution

The fourth proportional to 3,630.96, 5,451.21 and 2,152.89 is: 3,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.96 : 5,451.21 = 2,152.89 : x
  2. Step 2: Convert to fraction form
    3,630.96/5,451.21 = 2,152.89/x
  3. Step 3: Cross multiply
    3,630.96x = 5,451.21 × 2,152.89
  4. Step 4: Simplify right side
    3,630.96x = 11,735,855.50
  5. Step 5: Solve for x
    x = 11,735,855.50/3,630.96
  6. Step 6: Final answer
    x = 3,232.16

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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.