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Finding the Fourth Proportional to 3,315.75, 4,973.24 and 850.62

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Solution

The fourth proportional to 3,315.75, 4,973.24 and 850.62 is: 1,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.75 : 4,973.24 = 850.62 : x
  2. Step 2: Convert to fraction form
    3,315.75/4,973.24 = 850.62/x
  3. Step 3: Cross multiply
    3,315.75x = 4,973.24 × 850.62
  4. Step 4: Simplify right side
    3,315.75x = 4,230,333.16
  5. Step 5: Solve for x
    x = 4,230,333.16/3,315.75
  6. Step 6: Final answer
    x = 1,275.83

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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.