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Finding the Fourth Proportional to 3,162.52, 4,735.50 and 2,063.80

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Solution

The fourth proportional to 3,162.52, 4,735.50 and 2,063.80 is: 3,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.52 : 4,735.50 = 2,063.80 : x
  2. Step 2: Convert to fraction form
    3,162.52/4,735.50 = 2,063.80/x
  3. Step 3: Cross multiply
    3,162.52x = 4,735.50 × 2,063.80
  4. Step 4: Simplify right side
    3,162.52x = 9,773,124.90
  5. Step 5: Solve for x
    x = 9,773,124.90/3,162.52
  6. Step 6: Final answer
    x = 3,090.30

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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.