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Finding the Fourth Proportional to 3,698.80, 5,534.30 and 2,212.55

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Solution

The fourth proportional to 3,698.80, 5,534.30 and 2,212.55 is: 3,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.80 : 5,534.30 = 2,212.55 : x
  2. Step 2: Convert to fraction form
    3,698.80/5,534.30 = 2,212.55/x
  3. Step 3: Cross multiply
    3,698.80x = 5,534.30 × 2,212.55
  4. Step 4: Simplify right side
    3,698.80x = 12,244,915.47
  5. Step 5: Solve for x
    x = 12,244,915.47/3,698.80
  6. Step 6: Final answer
    x = 3,310.51

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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.