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Finding the Fourth Proportional to 3,213.95, 4,817.54 and 1,568.23

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Solution

The fourth proportional to 3,213.95, 4,817.54 and 1,568.23 is: 2,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.95 : 4,817.54 = 1,568.23 : x
  2. Step 2: Convert to fraction form
    3,213.95/4,817.54 = 1,568.23/x
  3. Step 3: Cross multiply
    3,213.95x = 4,817.54 × 1,568.23
  4. Step 4: Simplify right side
    3,213.95x = 7,555,002.63
  5. Step 5: Solve for x
    x = 7,555,002.63/3,213.95
  6. Step 6: Final answer
    x = 2,350.69

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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.