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Finding the Fourth Proportional to 3,537.20, 5,308.20 and 2,074.80

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Solution

The fourth proportional to 3,537.20, 5,308.20 and 2,074.80 is: 3,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.20 : 5,308.20 = 2,074.80 : x
  2. Step 2: Convert to fraction form
    3,537.20/5,308.20 = 2,074.80/x
  3. Step 3: Cross multiply
    3,537.20x = 5,308.20 × 2,074.80
  4. Step 4: Simplify right side
    3,537.20x = 11,013,453.36
  5. Step 5: Solve for x
    x = 11,013,453.36/3,537.20
  6. Step 6: Final answer
    x = 3,113.61

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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.