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Finding the Fourth Proportional to 3,315.20, 4,972.78 and 850.03

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Solution

The fourth proportional to 3,315.20, 4,972.78 and 850.03 is: 1,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.20 : 4,972.78 = 850.03 : x
  2. Step 2: Convert to fraction form
    3,315.20/4,972.78 = 850.03/x
  3. Step 3: Cross multiply
    3,315.20x = 4,972.78 × 850.03
  4. Step 4: Simplify right side
    3,315.20x = 4,227,000.81
  5. Step 5: Solve for x
    x = 4,227,000.81/3,315.20
  6. Step 6: Final answer
    x = 1,275.04

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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.